438050866400 has 432 divisors, whose sum is σ = 1288252921536. Its totient is φ = 144935239680.

The previous prime is 438050866387. The next prime is 438050866457. The reversal of 438050866400 is 4668050834.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 134493572 + ... + 134496828.

It is an arithmetic number, because the mean of its divisors is an integer number (2982066948).

Almost surely, 2^438050866400 is an apocalyptic number.

438050866400 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 438050866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644126460768).

438050866400 is an abundant number, since it is smaller than the sum of its proper divisors (850202055136).

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

438050866400 is a wasteful number, since it uses less digits than its factorization.

438050866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 44.

The spelling of 438050866400 in words is "four hundred thirty-eight billion, fifty million, eight hundred sixty-six thousand, four hundred".