412769144885760 has 960 divisors, whose sum is σ = 1611442546826112. Its totient is φ = 100654924824576.

The previous prime is 412769144885743. The next prime is 412769144885807. The reversal of 412769144885760 is 67588441967214.

412769144885760 is a `hidden beast` number, since 4 + 1 + 2 + 7 + 6 + 9 + 1 + 4 + 48 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 865074772 + ... + 865551788.

Almost surely, 2^{412769144885760} is an apocalyptic number.

412769144885760 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 412769144885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805721273413056).

412769144885760 is an abundant number, since it is smaller than the sum of its proper divisors (1198673401940352).

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

412769144885760 is a wasteful number, since it uses less digits than its factorization.

412769144885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477175 (or 477147 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 412769144885760 in words is "four hundred twelve trillion, seven hundred sixty-nine billion, one hundred forty-four million, eight hundred eighty-five thousand, seven hundred sixty".