413161499520 has 2048 divisors, whose sum is σ = 1959966720000. Its totient is φ = 79666053120.

The previous prime is 413161499519. The next prime is 413161499533. The reversal of 413161499520 is 25994161314.

413161499520 is a `hidden beast` number, since 4 + 1 + 3 + 1 + 614 + 9 + 9 + 5 + 20 = 666.

It is a super-2 number, since 2×413161499520² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 1491557622 + ... + 1491557898.

It is an arithmetic number, because the mean of its divisors is an integer number (957015000).

Almost surely, 2^413161499520 is an apocalyptic number.

413161499520 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 413161499520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979983360000).

413161499520 is an abundant number, since it is smaller than the sum of its proper divisors (1546805220480).

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

413161499520 is a wasteful number, since it uses less digits than its factorization.

413161499520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 413161499520 in words is "four hundred thirteen billion, one hundred sixty-one million, four hundred ninety-nine thousand, five hundred twenty".