| Base | Representation |
|---|---|
| bin | 1100110100110000011… |
| … | …00001101000000000000 |
| 3 | 1120010100221220021110000 |
| 4 | 12122120030031000000 |
| 5 | 24204412320000000 |
| 6 | 534232140240000 |
| 7 | 43556320126014 |
| oct | 6323014150000 |
| 9 | 1503327807400 |
| 10 | 440640000000 |
| 11 | 15a968879962 |
| 12 | 71495540000 |
| 13 | 32724183015 |
| 14 | 1748176a544 |
| 15 | b6de6a0000 |
| hex | 669830d000 |
440640000000 has 1040 divisors, whose sum is σ = 1742182844688. Its totient is φ = 110592000000.
The previous prime is 440639999927. The next prime is 440640000013. The reversal of 440640000000 is 46044.
440640000000 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 389136420864 + 51503579136 = 623808^2 + 226944^2 .
It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 10200 × 9000 × 4800.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25919999992 + ... + 25920000008.
Almost surely, 2440640000000 is an apocalyptic number.
440640000000 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 440640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871091422344).
440640000000 is an abundant number, since it is smaller than the sum of its proper divisors (1301542844688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
440640000000 is an frugal number, since it uses more digits than its factorization.
440640000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 88 (or 27 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 440640000000 its reverse (46044), we get a palindrome (440640046044).
The spelling of 440640000000 in words is "four hundred forty billion, six hundred forty million", and thus it is an aban number.
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