438014944752 has 160 divisors (see below), whose sum is σ = 1443558082560. Its totient is φ = 111124258560.

The previous prime is 438014944733. The next prime is 438014944841. The reversal of 438014944752 is 257449410834.

It is a super-2 number, since 2×438014944752² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 438014944695 and 438014944704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219102 + ... + 1536957.

It is an arithmetic number, because the mean of its divisors is an integer number (9022238016).

Almost surely, 2^438014944752 is an apocalyptic number.

438014944752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

438014944752 is an abundant number, since it is smaller than the sum of its proper divisors (1005543137808).

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

438014944752 is a wasteful number, since it uses less digits than its factorization.

438014944752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756131 (or 2756125 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 438014944752 in words is "four hundred thirty-eight billion, fourteen million, nine hundred forty-four thousand, seven hundred fifty-two".