438643924992 has 1792 divisors, whose sum is σ = 1784986828800. Its totient is φ = 103195607040.

The previous prime is 438643924987. The next prime is 438643924993. The reversal of 438643924992 is 299429346834.

438643924992 is a `hidden beast` number, since 4 + 386 + 4 + 3 + 9 + 249 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (438643924993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11855241198 + ... + 11855241234.

It is an arithmetic number, because the mean of its divisors is an integer number (996086400).

Almost surely, 2^438643924992 is an apocalyptic number.

438643924992 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 438643924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892493414400).

438643924992 is an abundant number, since it is smaller than the sum of its proper divisors (1346342903808).

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

438643924992 is a wasteful number, since it uses less digits than its factorization.

438643924992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 63.

The spelling of 438643924992 in words is "four hundred thirty-eight billion, six hundred forty-three million, nine hundred twenty-four thousand, nine hundred ninety-two".