413153300916 has 240 divisors, whose sum is σ = 1182191915520. Its totient is φ = 125254563840.

The previous prime is 413153300909. The next prime is 413153300941. The reversal of 413153300916 is 619003351314.

It is a happy number.

413153300916 is a `hidden beast` number, since 4 + 1 + 31 + 533 + 0 + 0 + 91 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 162721575 + ... + 162724113.

It is an arithmetic number, because the mean of its divisors is an integer number (4925799648).

Almost surely, 2^413153300916 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 413153300916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591095957760).

413153300916 is an abundant number, since it is smaller than the sum of its proper divisors (769038614604).

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

413153300916 is a wasteful number, since it uses less digits than its factorization.

413153300916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3556 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 413153300916 in words is "four hundred thirteen billion, one hundred fifty-three million, three hundred thousand, nine hundred sixteen".