413434631610 has 384 divisors, whose sum is σ = 1445178309120. Its totient is φ = 79194931200.

The previous prime is 413434631573. The next prime is 413434631653. The reversal of 413434631610 is 16136434314.

413434631610 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 3 + 4 + 6 + 31 + 610 = 666.

It is a super-3 number, since 3×413434631610³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 79366686 + ... + 79371894.

It is an arithmetic number, because the mean of its divisors is an integer number (3763485180).

Almost surely, 2^413434631610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413434631610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722589154560).

413434631610 is an abundant number, since it is smaller than the sum of its proper divisors (1031743677510).

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

413434631610 is a wasteful number, since it uses less digits than its factorization.

413434631610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6134 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 413434631610 in words is "four hundred thirteen billion, four hundred thirty-four million, six hundred thirty-one thousand, six hundred ten".