413534135344 has 40 divisors (see below), whose sum is σ = 874148939280. Its totient is φ = 187951104000.

The previous prime is 413534135323. The next prime is 413534135369. The reversal of 413534135344 is 443531435314.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413534135297 and 413534135306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1711644 + ... + 1938244.

It is an arithmetic number, because the mean of its divisors is an integer number (21853723482).

Almost surely, 2^413534135344 is an apocalyptic number.

413534135344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

413534135344 is an abundant number, since it is smaller than the sum of its proper divisors (460614803936).

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

413534135344 is a wasteful number, since it uses less digits than its factorization.

413534135344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236989 (or 236983 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

The spelling of 413534135344 in words is "four hundred thirteen billion, five hundred thirty-four million, one hundred thirty-five thousand, three hundred forty-four".