414120134004 has 48 divisors (see below), whose sum is σ = 989615346048. Its totient is φ = 134745458688.

The previous prime is 414120133967. The next prime is 414120134033. The reversal of 414120134004 is 400431021414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2351832 + ... + 2521775.

It is an arithmetic number, because the mean of its divisors is an integer number (20616986376).

Almost surely, 2^414120134004 is an apocalyptic number.

It is an amenable number.

414120134004 is an abundant number, since it is smaller than the sum of its proper divisors (575495212044).

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

414120134004 is a wasteful number, since it uses less digits than its factorization.

414120134004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4873784 (or 4873782 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 414120134004 its reverse (400431021414), we get a palindrome (814551155418).

The spelling of 414120134004 in words is "four hundred fourteen billion, one hundred twenty million, one hundred thirty-four thousand, four".