414130013130 has 32 divisors (see below), whose sum is σ = 997579623168. Its totient is φ = 110027160000.

The previous prime is 414130013093. The next prime is 414130013131. The reversal of 414130013130 is 31310031414.

It is a junction number, because it is equal to n+sod(n) for n = 414130013097 and 414130013106.

It is not an unprimeable number, because it can be changed into a prime (414130013131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25461121 + ... + 25477380.

It is an arithmetic number, because the mean of its divisors is an integer number (31174363224).

Almost surely, 2^414130013130 is an apocalyptic number.

414130013130 is an abundant number, since it is smaller than the sum of its proper divisors (583449610038).

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

414130013130 is a wasteful number, since it uses less digits than its factorization.

414130013130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50938782.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 414130013130 its reverse (31310031414), we get a palindrome (445440044544).

The spelling of 414130013130 in words is "four hundred fourteen billion, one hundred thirty million, thirteen thousand, one hundred thirty".