414131203700 has 36 divisors (see below), whose sum is σ = 903629749932. Its totient is φ = 164737267200.

The previous prime is 414131203699. The next prime is 414131203711. The reversal of 414131203700 is 7302131414.

It can be written as a sum of positive squares in 6 ways, for example, as 24750211684 + 389380992016 = 157322^2 + 624004^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414131203700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11421989 + ... + 11458188.

It is an arithmetic number, because the mean of its divisors is an integer number (25100826387).

Almost surely, 2^414131203700 is an apocalyptic number.

It is an amenable number.

414131203700 is an abundant number, since it is smaller than the sum of its proper divisors (489498546232).

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

414131203700 is a wasteful number, since it uses less digits than its factorization.

414131203700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22880372 (or 22880365 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The spelling of 414131203700 in words is "four hundred fourteen billion, one hundred thirty-one million, two hundred three thousand, seven hundred".