414304424032 has 72 divisors (see below), whose sum is σ = 845444741400. Its totient is φ = 199826626560.

The previous prime is 414304424003. The next prime is 414304424033. The reversal of 414304424032 is 230424403414.

It is a junction number, because it is equal to n+sod(n) for n = 414304423985 and 414304424003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414304424033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4744219 + ... + 4830757.

It is an arithmetic number, because the mean of its divisors is an integer number (11742288075).

Almost surely, 2^414304424032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414304424032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422722370700).

414304424032 is an abundant number, since it is smaller than the sum of its proper divisors (431140317368).

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

414304424032 is an equidigital number, since it uses as much as digits as its factorization.

414304424032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86720 (or 86671 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 414304424032 its reverse (230424403414), we get a palindrome (644728827446).

The spelling of 414304424032 in words is "four hundred fourteen billion, three hundred four million, four hundred twenty-four thousand, thirty-two".