401252888800 has 36 divisors (see below), whose sum is σ = 979558616736. Its totient is φ = 160501155200.

The previous prime is 401252888791. The next prime is 401252888821. The reversal of 401252888800 is 8888252104.

It is a super-2 number, since 2×401252888800² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250782256 + ... + 250783855.

It is an arithmetic number, because the mean of its divisors is an integer number (27209961576).

Almost surely, 2^401252888800 is an apocalyptic number.

401252888800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401252888800 is an abundant number, since it is smaller than the sum of its proper divisors (578305727936).

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

401252888800 is a wasteful number, since it uses less digits than its factorization.

401252888800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501566131 (or 501566118 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 46.

The spelling of 401252888800 in words is "four hundred one billion, two hundred fifty-two million, eight hundred eighty-eight thousand, eight hundred".