413233031016 has 72 divisors (see below), whose sum is σ = 1211885367030. Its totient is φ = 127148621184.

The previous prime is 413233030997. The next prime is 413233031039. The reversal of 413233031016 is 610130332314.

413233031016 is a `hidden beast` number, since 4 + 1 + 3 + 2 + 330 + 310 + 16 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 326235168900 + 86997862116 = 571170^2 + 294954^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 16968151 + ... + 16992486.

Almost surely, 2^413233031016 is an apocalyptic number.

It is an amenable number.

413233031016 is an abundant number, since it is smaller than the sum of its proper divisors (798652336014).

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

413233031016 is a wasteful number, since it uses less digits than its factorization.

413233031016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33960675 (or 33960655 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 413233031016 in words is "four hundred thirteen billion, two hundred thirty-three million, thirty-one thousand, sixteen".