413284225536 has 640 divisors, whose sum is σ = 1584998553600. Its totient is φ = 103255326720.

The previous prime is 413284225513. The next prime is 413284225561. The reversal of 413284225536 is 635522482314.

413284225536 is a `hidden beast` number, since 4 + 1 + 32 + 84 + 2 + 2 + 5 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 413284225491 and 413284225500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23893051 + ... + 23910341.

It is an arithmetic number, because the mean of its divisors is an integer number (2476560240).

Almost surely, 2^413284225536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413284225536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792499276800).

413284225536 is an abundant number, since it is smaller than the sum of its proper divisors (1171714328064).

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

413284225536 is a wasteful number, since it uses less digits than its factorization.

413284225536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357 (or 17335 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 413284225536 in words is "four hundred thirteen billion, two hundred eighty-four million, two hundred twenty-five thousand, five hundred thirty-six".