414404414232 has 64 divisors (see below), whose sum is σ = 1048792080000. Its totient is φ = 136436382720.

The previous prime is 414404414201. The next prime is 414404414317. The reversal of 414404414232 is 232414404414.

It is a junction number, because it is equal to n+sod(n) for n = 414404414193 and 414404414202.

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, 983307 + ... + 1340037.

It is an arithmetic number, because the mean of its divisors is an integer number (16387376250).

Almost surely, 2^414404414232 is an apocalyptic number.

It is an amenable number.

414404414232 is an abundant number, since it is smaller than the sum of its proper divisors (634387665768).

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

414404414232 is a wasteful number, since it uses less digits than its factorization.

414404414232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357336 (or 357332 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 414404414232 its reverse (232414404414), we get a palindrome (646818818646).

The spelling of 414404414232 in words is "four hundred fourteen billion, four hundred four million, four hundred fourteen thousand, two hundred thirty-two".