413521279920 has 320 divisors, whose sum is σ = 1683963648000. Its totient is φ = 91259771904.

The previous prime is 413521279901. The next prime is 413521279931. The reversal of 413521279920 is 29972125314.

413521279920 is a `hidden beast` number, since 4 + 1 + 352 + 1 + 279 + 9 + 20 = 666.

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 63 ways as a sum of consecutive naturals, for example, 33060 + ... + 910019.

It is an arithmetic number, because the mean of its divisors is an integer number (5262386400).

Almost surely, 2^413521279920 is an apocalyptic number.

413521279920 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 413521279920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841981824000).

413521279920 is an abundant number, since it is smaller than the sum of its proper divisors (1270442368080).

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

413521279920 is a wasteful number, since it uses less digits than its factorization.

413521279920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943137 (or 943125 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 413521279920 in words is "four hundred thirteen billion, five hundred twenty-one million, two hundred seventy-nine thousand, nine hundred twenty".