438625082880 has 800 divisors, whose sum is σ = 1619949111264. Its totient is φ = 113382457344.

The previous prime is 438625082879. The next prime is 438625082893. The reversal of 438625082880 is 88280526834.

438625082880 is a `hidden beast` number, since 4 + 3 + 8 + 625 + 0 + 8 + 2 + 8 + 8 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 1175938374 + ... + 1175938746.

Almost surely, 2^438625082880 is an apocalyptic number.

438625082880 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 438625082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809974555632).

438625082880 is an abundant number, since it is smaller than the sum of its proper divisors (1181324028384).

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

438625082880 is a wasteful number, since it uses less digits than its factorization.

438625082880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 438625082880 in words is "four hundred thirty-eight billion, six hundred twenty-five million, eighty-two thousand, eight hundred eighty".