412012687680000 has 1200 divisors, whose sum is σ = 1622185482430656. Its totient is φ = 99807375360000.

The previous prime is 412012687679981. The next prime is 412012687680001. The reversal of 412012687680000 is 86786210214.

412012687680000 is a `hidden beast` number, since 41 + 201 + 268 + 76 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is not an unprimeable number, because it can be changed into a prime (412012687680001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 50909755954 + ... + 50909764046.

Almost surely, 2^{412012687680000} is an apocalyptic number.

412012687680000 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 412012687680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811092741215328).

412012687680000 is an abundant number, since it is smaller than the sum of its proper divisors (1210172794750656).

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

412012687680000 is a wasteful number, since it uses less digits than its factorization.

412012687680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9755 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 412012687680000 in words is "four hundred twelve trillion, twelve billion, six hundred eighty-seven million, six hundred eighty thousand".