412293815856 has 320 divisors, whose sum is σ = 1306516377600. Its totient is φ = 123690322944.

The previous prime is 412293815849. The next prime is 412293815891. The reversal of 412293815856 is 658518392214.

412293815856 is a `hidden beast` number, since 4 + 1 + 2 + 29 + 38 + 1 + 585 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73111885 + ... + 73117523.

It is an arithmetic number, because the mean of its divisors is an integer number (4082863680).

Almost surely, 2^412293815856 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 412293815856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653258188800).

412293815856 is an abundant number, since it is smaller than the sum of its proper divisors (894222561744).

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

412293815856 is a wasteful number, since it uses less digits than its factorization.

412293815856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5981 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 54.

The spelling of 412293815856 in words is "four hundred twelve billion, two hundred ninety-three million, eight hundred fifteen thousand, eight hundred fifty-six".