| Base | Representation |
|---|---|
| bin | 100101011000100010… |
| … | …000001101010110000 |
| 3 | 10211121102112022101020 |
| 4 | 211120202001222300 |
| 5 | 1124201321123100 |
| 6 | 30235015535440 |
| 7 | 2620464354354 |
| oct | 453042015260 |
| 9 | 124542468336 |
| 10 | 40140020400 |
| 11 | 16028aa4487 |
| 12 | 794298a580 |
| 13 | 3a29098c7c |
| 14 | 1d2b019464 |
| 15 | 109de445a0 |
| hex | 958881ab0 |
40140020400 has 240 divisors, whose sum is σ = 130982116608. Its totient is φ = 10505600000.
The previous prime is 40140020387. The next prime is 40140020413. The reversal of 40140020400 is 402004104.
It is an interprime number because it is at equal distance from previous prime (40140020387) and next prime (40140020413).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×401400204002 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 40140020400.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21384262 + ... + 21386138.
Almost surely, 240140020400 is an apocalyptic number.
40140020400 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 40140020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65491058304).
40140020400 is an abundant number, since it is smaller than the sum of its proper divisors (90842096208).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40140020400 is a wasteful number, since it uses less digits than its factorization.
40140020400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2220 (or 2209 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 15.
Adding to 40140020400 its reverse (402004104), we get a palindrome (40542024504).
The spelling of 40140020400 in words is "forty billion, one hundred forty million, twenty thousand, four hundred".
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