416883792960 has 224 divisors, whose sum is σ = 1477159067520. Its totient is φ = 110678759424.

The previous prime is 416883792937. The next prime is 416883792967. The reversal of 416883792960 is 69297388614.

It is a super-2 number, since 2×416883792960² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416883792967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1855002 + ... + 2067558.

Almost surely, 2^416883792960 is an apocalyptic number.

416883792960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416883792960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738579533760).

416883792960 is an abundant number, since it is smaller than the sum of its proper divisors (1060275274560).

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

416883792960 is a wasteful number, since it uses less digits than its factorization.

416883792960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212810 (or 212794 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 416883792960 in words is "four hundred sixteen billion, eight hundred eighty-three million, seven hundred ninety-two thousand, nine hundred sixty".