414167713872 has 160 divisors (see below), whose sum is σ = 1174641008640. Its totient is φ = 124706856960.

The previous prime is 414167713867. The next prime is 414167713877. The reversal of 414167713872 is 278317761414.

It is an interprime number because it is at equal distance from previous prime (414167713867) and next prime (414167713877).

It is a super-2 number, since 2×414167713872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414167713877) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110767779 + ... + 110771517.

It is an arithmetic number, because the mean of its divisors is an integer number (7341506304).

Almost surely, 2^414167713872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414167713872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587320504320).

414167713872 is an abundant number, since it is smaller than the sum of its proper divisors (760473294768).

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

414167713872 is a wasteful number, since it uses less digits than its factorization.

414167713872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5035 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 51.

The spelling of 414167713872 in words is "four hundred fourteen billion, one hundred sixty-seven million, seven hundred thirteen thousand, eight hundred seventy-two".