414131102320 has 160 divisors (see below), whose sum is σ = 1044873873792. Its totient is φ = 151740297216.

The previous prime is 414131102311. The next prime is 414131102353. The reversal of 414131102320 is 23201131414.

It is a junction number, because it is equal to n+sod(n) for n = 414131102291 and 414131102300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127305814 + ... + 127309066.

Almost surely, 2^414131102320 is an apocalyptic number.

414131102320 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 414131102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522436936896).

414131102320 is an abundant number, since it is smaller than the sum of its proper divisors (630742771472).

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

414131102320 is a wasteful number, since it uses less digits than its factorization.

414131102320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 414131102320 its reverse (23201131414), we get a palindrome (437332233734).

The spelling of 414131102320 in words is "four hundred fourteen billion, one hundred thirty-one million, one hundred two thousand, three hundred twenty".