433401327077664 has 96 divisors (see below), whose sum is σ = 1241532219041856. Its totient is φ = 131288400158720.

The previous prime is 433401327077603. The next prime is 433401327077687. The reversal of 433401327077664 is 466770723104334.

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

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, 67775757 + ... + 73894220.

It is an arithmetic number, because the mean of its divisors is an integer number (12932627281686).

Almost surely, 2^{433401327077664} is an apocalyptic number.

433401327077664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

433401327077664 is an abundant number, since it is smaller than the sum of its proper divisors (808130891964192).

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

433401327077664 is a wasteful number, since it uses less digits than its factorization.

433401327077664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141672898 (or 141672890 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 57.

The spelling of 433401327077664 in words is "four hundred thirty-three trillion, four hundred one billion, three hundred twenty-seven million, seventy-seven thousand, six hundred sixty-four".