438657608840 has 128 divisors (see below), whose sum is σ = 1098930585600. Its totient is φ = 156251047680.

The previous prime is 438657608833. The next prime is 438657608843. The reversal of 438657608840 is 48806756834.

It is a happy number.

It is a super-2 number, since 2×438657608840² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 438657608840.

It is not an unprimeable number, because it can be changed into a prime (438657608843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4364837 + ... + 4464203.

It is an arithmetic number, because the mean of its divisors is an integer number (8585395200).

Almost surely, 2^438657608840 is an apocalyptic number.

438657608840 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 438657608840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549465292800).

438657608840 is an abundant number, since it is smaller than the sum of its proper divisors (660272976760).

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

438657608840 is a wasteful number, since it uses less digits than its factorization.

438657608840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99595 (or 99591 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 438657608840 in words is "four hundred thirty-eight billion, six hundred fifty-seven million, six hundred eight thousand, eight hundred forty".