2004414200131 has 8 divisors (see below), whose sum is σ = 2369750778720. Its totient is φ = 1658825544768.

The previous prime is 2004414200111. The next prime is 2004414200147. The reversal of 2004414200131 is 1310024144002.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2004414200131 - 2⁵ = 2004414200099 is a prime.

It is a super-2 number, since 2×2004414200131² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2004414200111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4936980586 + ... + 4936980991.

It is an arithmetic number, because the mean of its divisors is an integer number (296218847340).

Almost surely, 2^{2004414200131} is an apocalyptic number.

2004414200131 is a deficient number, since it is larger than the sum of its proper divisors (365336578589).

2004414200131 is an equidigital number, since it uses as much as digits as its factorization.

2004414200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9873961613.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 2004414200131 its reverse (1310024144002), we get a palindrome (3314438344133).

The spelling of 2004414200131 in words is "two trillion, four billion, four hundred fourteen million, two hundred thousand, one hundred thirty-one".