403212977568 has 96 divisors (see below), whose sum is σ = 1176167059200. Its totient is φ = 134389559808.

The previous prime is 403212977513. The next prime is 403212977579. The reversal of 403212977568 is 865779212304.

It is a happy number.

403212977568 is a `hidden beast` number, since 4 + 0 + 3 + 2 + 1 + 2 + 9 + 77 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10203993 + ... + 10243431.

It is an arithmetic number, because the mean of its divisors is an integer number (12251740200).

It is a 1-persistent number, because it is pandigital, but 2⋅403212977568 = 806425955136 is not.

Almost surely, 2^403212977568 is an apocalyptic number.

403212977568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

403212977568 is an abundant number, since it is smaller than the sum of its proper divisors (772954081632).

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

403212977568 is a wasteful number, since it uses less digits than its factorization.

403212977568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51291 (or 51277 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 403212977568 in words is "four hundred three billion, two hundred twelve million, nine hundred seventy-seven thousand, five hundred sixty-eight".