414131002010 has 16 divisors (see below), whose sum is σ = 813202695072. Its totient is φ = 150593091600.

The previous prime is 414131002007. The next prime is 414131002037. The reversal of 414131002010 is 10200131414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 414131002010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1882413536 + ... + 1882413755.

It is an arithmetic number, because the mean of its divisors is an integer number (50825168442).

Almost surely, 2^414131002010 is an apocalyptic number.

414131002010 is a deficient number, since it is larger than the sum of its proper divisors (399071693062).

414131002010 is a wasteful number, since it uses less digits than its factorization.

414131002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764827309.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 414131002010 its reverse (10200131414), we get a palindrome (424331133424).

The spelling of 414131002010 in words is "four hundred fourteen billion, one hundred thirty-one million, two thousand, ten".