416004954624 has 320 divisors, whose sum is σ = 1445366419200. Its totient is φ = 115645169664.

The previous prime is 416004954619. The next prime is 416004954667. The reversal of 416004954624 is 426459400614.

416004954624 is a `hidden beast` number, since 4 + 1 + 60 + 0 + 49 + 546 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 416004954624.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3522322 + ... + 3638510.

It is an arithmetic number, because the mean of its divisors is an integer number (4516770060).

Almost surely, 2^416004954624 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 416004954624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722683209600).

416004954624 is an abundant number, since it is smaller than the sum of its proper divisors (1029361464576).

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

416004954624 is a wasteful number, since it uses less digits than its factorization.

416004954624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116260 (or 116238 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 416004954624 in words is "four hundred sixteen billion, four million, nine hundred fifty-four thousand, six hundred twenty-four".