413509752288 has 72 divisors (see below), whose sum is σ = 1189130997600. Its totient is φ = 136287849984.

The previous prime is 413509752283. The next prime is 413509752317. The reversal of 413509752288 is 882257905314.

413509752288 is a `hidden beast` number, since 4 + 1 + 3 + 509 + 7 + 52 + 2 + 88 = 666.

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

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413509752283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8040648 + ... + 8091911.

It is an arithmetic number, because the mean of its divisors is an integer number (16515708300).

Almost surely, 2^413509752288 is an apocalyptic number.

413509752288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413509752288 is an abundant number, since it is smaller than the sum of its proper divisors (775621245312).

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

413509752288 is a wasteful number, since it uses less digits than its factorization.

413509752288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16132664 (or 16132653 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 413509752288 in words is "four hundred thirteen billion, five hundred nine million, seven hundred fifty-two thousand, two hundred eighty-eight".