412475140080000 has 2240 divisors, whose sum is σ = 1596275134945920. Its totient is φ = 105972572160000.

The previous prime is 412475140079987. The next prime is 412475140080001. The reversal of 412475140080000 is 80041574214.

It is a happy number.

412475140080000 is a `hidden beast` number, since 4 + 1 + 247 + 5 + 1 + 400 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412475140080001) by changing a digit.

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 279 ways as a sum of consecutive naturals, for example, 609269039662 + ... + 609269040338.

Almost surely, 2^{412475140080000} is an apocalyptic number.

412475140080000 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 412475140080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798137567472960).

412475140080000 is an abundant number, since it is smaller than the sum of its proper divisors (1183799994865920).

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

412475140080000 is an frugal number, since it uses more digits than its factorization.

412475140080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 412475140080000 in words is "four hundred twelve trillion, four hundred seventy-five billion, one hundred forty million, eighty thousand".