414004412120 has 32 divisors (see below), whose sum is σ = 1003164538320. Its totient is φ = 152863167360.

The previous prime is 414004412077. The next prime is 414004412137. The reversal of 414004412120 is 21214400414.

It is a congruent number.

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, 398080646 + ... + 398081685.

Almost surely, 2^414004412120 is an apocalyptic number.

414004412120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414004412120 is an abundant number, since it is smaller than the sum of its proper divisors (589160126200).

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

414004412120 is a wasteful number, since it uses less digits than its factorization.

414004412120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796162355 (or 796162351 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 414004412120 its reverse (21214400414), we get a palindrome (435218812534).

The spelling of 414004412120 in words is "four hundred fourteen billion, four million, four hundred twelve thousand, one hundred twenty".