413851317120 has 448 divisors, whose sum is σ = 1486799593200. Its totient is φ = 110105174016.

The previous prime is 413851317119. The next prime is 413851317127. The reversal of 413851317120 is 21713158314.

413851317120 is a `hidden beast` number, since 4 + 1 + 3 + 8 + 513 + 17 + 120 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413851317127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 288799924 + ... + 288801356.

Almost surely, 2^413851317120 is an apocalyptic number.

413851317120 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 413851317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743399796600).

413851317120 is an abundant number, since it is smaller than the sum of its proper divisors (1072948276080).

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

413851317120 is an equidigital number, since it uses as much as digits as its factorization.

413851317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 413851317120 in words is "four hundred thirteen billion, eight hundred fifty-one million, three hundred seventeen thousand, one hundred twenty".