412282975104000 has 4224 divisors, whose sum is σ = 2112215086485504. Its totient is φ = 74423992320000.

The previous prime is 412282975103971. The next prime is 412282975104029. The reversal of 412282975104000 is 401579282214.

412282975104000 is a `hidden beast` number, since 4 + 1 + 2 + 2 + 8 + 2 + 97 + 510 + 40 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (412282975103971) and next prime (412282975104029).

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19603573485 + ... + 19603594515.

It is an arithmetic number, because the mean of its divisors is an integer number (500050920096).

Almost surely, 2^{412282975104000} is an apocalyptic number.

412282975104000 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 412282975104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056107543242752).

412282975104000 is an abundant number, since it is smaller than the sum of its proper divisors (1699932111381504).

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

412282975104000 is a wasteful number, since it uses less digits than its factorization.

412282975104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21120 (or 21089 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 412282975104000 in words is "four hundred twelve trillion, two hundred eighty-two billion, nine hundred seventy-five million, one hundred four thousand".