412472572785 has 384 divisors, whose sum is σ = 950243374080. Its totient is φ = 166943379456.

The previous prime is 412472572709. The next prime is 412472572807. The reversal of 412472572785 is 587275274214.

412472572785 is a `hidden beast` number, since 41 + 2 + 472 + 57 + 2 + 7 + 85 = 666.

It is not a de Polignac number, because 412472572785 - 2²⁴ = 412455795569 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 631657519 + ... + 631658171.

It is an arithmetic number, because the mean of its divisors is an integer number (2474592120).

Almost surely, 2^412472572785 is an apocalyptic number.

412472572785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

412472572785 is an abundant number, since it is smaller than the sum of its proper divisors (537770801295).

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

412472572785 is a wasteful number, since it uses less digits than its factorization.

412472572785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 907 counting only the distinct ones).

The product of its digits is 8780800, while the sum is 54.

The spelling of 412472572785 in words is "four hundred twelve billion, four hundred seventy-two million, five hundred seventy-two thousand, seven hundred eighty-five".