| Base | Representation |
|---|---|
| bin | 101110000110011011100010… |
| … | …0011001001000100000000000 |
| 3 | 1222011202210210220210000122010 |
| 4 | 1130030313010121020200000 |
| 5 | 411122234234303140000 |
| 6 | 3554233552454012520 |
| 7 | 151261462121015334 |
| oct | 13414670431104000 |
| 9 | 1864683726700563 |
| 10 | 405504042240000 |
| 11 | 10822a331415370 |
| 12 | 39591497347140 |
| 13 | 14535b37050772 |
| 14 | 721c7010017c4 |
| 15 | 31d315629dd50 |
| hex | 170cdc4648800 |
405504042240000 has 1920 divisors, whose sum is σ = 1504971295027200. Its totient is φ = 96242565120000.
The previous prime is 405504042239977. The next prime is 405504042240029. The reversal of 405504042240000 is 42240405504.
It is a tau number, because it is divible by the number of its divisors (1920).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a self number, because there is not a number n which added to its sum of digits gives 405504042240000.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 457163519557 + ... + 457163520443.
It is an arithmetic number, because the mean of its divisors is an integer number (783839216160).
Almost surely, 2405504042240000 is an apocalyptic number.
405504042240000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 405504042240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752485647513600).
405504042240000 is an abundant number, since it is smaller than the sum of its proper divisors (1099467252787200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
405504042240000 is a wasteful number, since it uses less digits than its factorization.
405504042240000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1159 (or 1124 counting only the distinct ones).
The product of its (nonzero) digits is 25600, while the sum is 30.
Adding to 405504042240000 its reverse (42240405504), we get a palindrome (405546282645504).
It can be divided in two parts, 405 and 504042240000, that added together give a palindrome (504042240405).
The spelling of 405504042240000 in words is "four hundred five trillion, five hundred four billion, forty-two million, two hundred forty thousand".
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