414393962616 has 144 divisors (see below), whose sum is σ = 1193107055400. Its totient is φ = 129909132288.

The previous prime is 414393962581. The next prime is 414393962669. The reversal of 414393962616 is 616269393414.

It is a happy number.

414393962616 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 9 + 3 + 9 + 626 + 1 + 6 = 666.

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 35 ways as a sum of consecutive naturals, for example, 31059675 + ... + 31073013.

Almost surely, 2^414393962616 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 414393962616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596553527700).

414393962616 is an abundant number, since it is smaller than the sum of its proper divisors (778713092784).

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

414393962616 is a wasteful number, since it uses less digits than its factorization.

414393962616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14878 (or 14854 counting only the distinct ones).

The product of its digits is 5038848, while the sum is 54.

The spelling of 414393962616 in words is "four hundred fourteen billion, three hundred ninety-three million, nine hundred sixty-two thousand, six hundred sixteen".