413365586634 has 512 divisors, whose sum is σ = 1310548377600. Its totient is φ = 93091783680.

The previous prime is 413365586629. The next prime is 413365586651. The reversal of 413365586634 is 436685563314.

It is a super-2 number, since 2×413365586634² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 57996379 + ... + 58003505.

It is an arithmetic number, because the mean of its divisors is an integer number (2559664800).

Almost surely, 2^413365586634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413365586634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655274188800).

413365586634 is an abundant number, since it is smaller than the sum of its proper divisors (897182790966).

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

413365586634 is a wasteful number, since it uses less digits than its factorization.

413365586634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7235 (or 7229 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 54.

It can be divided in two parts, 413365 and 586634, that added together give a palindrome (999999).

The spelling of 413365586634 in words is "four hundred thirteen billion, three hundred sixty-five million, five hundred eighty-six thousand, six hundred thirty-four".