412371483660864 has 1008 divisors, whose sum is σ = 1510621531521024. Its totient is φ = 105201068544000.

The previous prime is 412371483660823. The next prime is 412371483660869. The reversal of 412371483660864 is 468066384173214.

412371483660864 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 7 + 14 + 8 + 3 + 6 + 608 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (412371483660869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83290541589 + ... + 83290546539.

Almost surely, 2^{412371483660864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412371483660864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755310765760512).

412371483660864 is an abundant number, since it is smaller than the sum of its proper divisors (1098250047860160).

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

412371483660864 is a wasteful number, since it uses less digits than its factorization.

412371483660864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8976 (or 8950 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 412371483660864 in words is "four hundred twelve trillion, three hundred seventy-one billion, four hundred eighty-three million, six hundred sixty thousand, eight hundred sixty-four".