414322324416 has 1344 divisors, whose sum is σ = 1677521664000. Its totient is φ = 94290739200.

The previous prime is 414322324357. The next prime is 414322324441. The reversal of 414322324416 is 614423223414.

414322324416 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 2 + 232 + 4 + 416 = 666.

414322324416 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1187169810 + ... + 1187170158.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156000).

Almost surely, 2^414322324416 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 414322324416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832000).

414322324416 is an abundant number, since it is smaller than the sum of its proper divisors (1263199339584).

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

414322324416 is a wasteful number, since it uses less digits than its factorization.

414322324416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 414322324416 in words is "four hundred fourteen billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred sixteen".