413517726720 has 2464 divisors, whose sum is σ = 1933088544000. Its totient is φ = 84276412416.

The previous prime is 413517726709. The next prime is 413517726757. The reversal of 413517726720 is 27627715314.

413517726720 is a `hidden beast` number, since 4 + 1 + 3 + 517 + 72 + 67 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 21764090871 + ... + 21764090889.

Almost surely, 2^413517726720 is an apocalyptic number.

413517726720 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 413517726720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966544272000).

413517726720 is an abundant number, since it is smaller than the sum of its proper divisors (1519570817280).

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

413517726720 is an equidigital number, since it uses as much as digits as its factorization.

413517726720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 413517726720 in words is "four hundred thirteen billion, five hundred seventeen million, seven hundred twenty-six thousand, seven hundred twenty".