401334528768 has 36 divisors (see below), whose sum is σ = 1068135128088. Its totient is φ = 133778176000.

The previous prime is 401334528743. The next prime is 401334528799. The reversal of 401334528768 is 867825433104.

It is a happy number.

It is a super-2 number, since 2×401334528768² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401334528768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 261284733 + ... + 261286268.

Almost surely, 2^401334528768 is an apocalyptic number.

401334528768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

401334528768 is an abundant number, since it is smaller than the sum of its proper divisors (666800599320).

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

401334528768 is an equidigital number, since it uses as much as digits as its factorization.

401334528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522571020 (or 522571006 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 401334528768 in words is "four hundred one billion, three hundred thirty-four million, five hundred twenty-eight thousand, seven hundred sixty-eight".