438902634240 has 864 divisors, whose sum is σ = 1838493296640. Its totient is φ = 98163228672.

The previous prime is 438902634239. The next prime is 438902634251. The reversal of 438902634240 is 42436209834.

438902634240 is a `hidden beast` number, since 4 + 3 + 8 + 9 + 0 + 2 + 634 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×438902634240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102330016 + ... + 102334304.

It is an arithmetic number, because the mean of its divisors is an integer number (2127885760).

Almost surely, 2^438902634240 is an apocalyptic number.

438902634240 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 438902634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919246648320).

438902634240 is an abundant number, since it is smaller than the sum of its proper divisors (1399590662400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

438902634240 is an equidigital number, since it uses as much as digits as its factorization.

438902634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4379 (or 4353 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 438902634240 in words is "four hundred thirty-eight billion, nine hundred two million, six hundred thirty-four thousand, two hundred forty".