438458888152000 has 224 divisors, whose sum is σ = 1086947380584000. Its totient is φ = 175205344870400.

The previous prime is 438458888151997. The next prime is 438458888152007. The reversal of 438458888152000 is 251888854834.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438458888152007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43117202916 + ... + 43117213084.

Almost surely, 2^{438458888152000} is an apocalyptic number.

438458888152000 is a gapful number since it is divisible by the number (40) 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 438458888152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543473690292000).

438458888152000 is an abundant number, since it is smaller than the sum of its proper divisors (648488492432000).

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

438458888152000 is a wasteful number, since it uses less digits than its factorization.

438458888152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15144 (or 15124 counting only the distinct ones).

The product of its (nonzero) digits is 78643200, while the sum is 64.

The spelling of 438458888152000 in words is "four hundred thirty-eight trillion, four hundred fifty-eight billion, eight hundred eighty-eight million, one hundred fifty-two thousand".