413010979920 has 640 divisors, whose sum is σ = 1787679866880. Its totient is φ = 85140357120.

The previous prime is 413010979897. The next prime is 413010979937. The reversal of 413010979920 is 29979010314.

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 (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21112864 + ... + 21132416.

It is an arithmetic number, because the mean of its divisors is an integer number (2793249792).

Almost surely, 2^413010979920 is an apocalyptic number.

413010979920 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 413010979920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893839933440).

413010979920 is an abundant number, since it is smaller than the sum of its proper divisors (1374668886960).

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

413010979920 is a wasteful number, since it uses less digits than its factorization.

413010979920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19720 (or 19708 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 413010979920 in words is "four hundred thirteen billion, ten million, nine hundred seventy-nine thousand, nine hundred twenty".