413324795520 has 2048 divisors, whose sum is σ = 1903878144000. Its totient is φ = 82413158400.

The previous prime is 413324795519. The next prime is 413324795549. The reversal of 413324795520 is 25597423314.

It is a happy number.

413324795520 is a `hidden beast` number, since 4 + 1 + 3 + 3 + 24 + 79 + 552 + 0 = 666.

It is a super-3 number, since 3×413324795520³ (a number of 36 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2973559611 + ... + 2973559749.

It is an arithmetic number, because the mean of its divisors is an integer number (929628000).

Almost surely, 2^413324795520 is an apocalyptic number.

413324795520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413324795520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951939072000).

413324795520 is an abundant number, since it is smaller than the sum of its proper divisors (1490553348480).

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

413324795520 is a wasteful number, since it uses less digits than its factorization.

413324795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 413324795520 in words is "four hundred thirteen billion, three hundred twenty-four million, seven hundred ninety-five thousand, five hundred twenty".