411972577920 has 192 divisors, whose sum is σ = 1429818029640. Its totient is φ = 109301391360.

The previous prime is 411972577897. The next prime is 411972577943. The reversal of 411972577920 is 29775279114.

411972577920 is a `hidden beast` number, since 41 + 1 + 9 + 7 + 2 + 577 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (411972577897) and next prime (411972577943).

It can be written as a sum of positive squares in 4 ways, for example, as 361066388544 + 50906189376 = 600888^2 + 225624^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 953190 + ... + 1316250.

Almost surely, 2^411972577920 is an apocalyptic number.

411972577920 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 411972577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714909014820).

411972577920 is an abundant number, since it is smaller than the sum of its proper divisors (1017845451720).

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

411972577920 is a wasteful number, since it uses less digits than its factorization.

411972577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363283 (or 363268 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 411972577920 in words is "four hundred eleven billion, nine hundred seventy-two million, five hundred seventy-seven thousand, nine hundred twenty".