413407573461792 has 1920 divisors, whose sum is σ = 1673947923056640. Its totient is φ = 96969153576960.

The previous prime is 413407573461787. The next prime is 413407573461833. The reversal of 413407573461792 is 297164375704314.

413407573461792 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 0 + 7 + 5 + 7 + 3 + 4 + 617 + 9 + 2 = 666.

It is a super-2 number, since 2×413407573461792² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5465352292 + ... + 5465427932.

It is an arithmetic number, because the mean of its divisors is an integer number (871847876592).

Almost surely, 2^{413407573461792} is an apocalyptic number.

413407573461792 is a gapful number since it is divisible by the number (42) 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 413407573461792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836973961528320).

413407573461792 is an abundant number, since it is smaller than the sum of its proper divisors (1260540349594848).

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

413407573461792 is a wasteful number, since it uses less digits than its factorization.

413407573461792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75776 (or 75759 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 413407573461792 in words is "four hundred thirteen trillion, four hundred seven billion, five hundred seventy-three million, four hundred sixty-one thousand, seven hundred ninety-two".