438252632832 has 144 divisors (see below), whose sum is σ = 1333591938560. Its totient is φ = 125161168896.

The previous prime is 438252632819. The next prime is 438252632833. The reversal of 438252632832 is 238236252834.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (438252632833) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13439844 + ... + 13472412.

Almost surely, 2^438252632832 is an apocalyptic number.

438252632832 is a gapful number since it is divisible by the number (42) 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 438252632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666795969280).

438252632832 is an abundant number, since it is smaller than the sum of its proper divisors (895339305728).

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

438252632832 is a wasteful number, since it uses less digits than its factorization.

438252632832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35098 (or 35084 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 48.

The spelling of 438252632832 in words is "four hundred thirty-eight billion, two hundred fifty-two million, six hundred thirty-two thousand, eight hundred thirty-two".