438400547811072 has 3888 divisors, whose sum is σ = 1776396233248000. Its totient is φ = 107551187251200.

The previous prime is 438400547810969. The next prime is 438400547811097. The reversal of 438400547811072 is 270118745004834.

438400547811072 is a `hidden beast` number, since 4 + 3 + 8 + 4 + 0 + 0 + 547 + 81 + 10 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3888).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1324472953947 + ... + 1324472954277.

Almost surely, 2^{438400547811072} is an apocalyptic number.

438400547811072 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 438400547811072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888198116624000).

438400547811072 is an abundant number, since it is smaller than the sum of its proper divisors (1337995685436928).

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

438400547811072 is an frugal number, since it uses more digits than its factorization.

438400547811072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 438400547811072 in words is "four hundred thirty-eight trillion, four hundred billion, five hundred forty-seven million, eight hundred eleven thousand, seventy-two".