438814872220032 has 1792 divisors, whose sum is σ = 1752613433280000. Its totient is φ = 105939965214720.

The previous prime is 438814872220031. The next prime is 438814872220073. The reversal of 438814872220032 is 230022278418834.

438814872220032 is a `hidden beast` number, since 4 + 38 + 81 + 487 + 2 + 2 + 20 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438814872220031) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 7235288844 + ... + 7235349492.

Almost surely, 2^{438814872220032} is an apocalyptic number.

438814872220032 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 438814872220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876306716640000).

438814872220032 is an abundant number, since it is smaller than the sum of its proper divisors (1313798561059968).

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

438814872220032 is a wasteful number, since it uses less digits than its factorization.

438814872220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60771 (or 60744 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 438814872220032 in words is "four hundred thirty-eight trillion, eight hundred fourteen billion, eight hundred seventy-two million, two hundred twenty thousand, thirty-two".