412583585472 has 280 divisors, whose sum is σ = 1255939500816. Its totient is φ = 133849884672.

The previous prime is 412583585471. The next prime is 412583585501. The reversal of 412583585472 is 274585385214.

It is a happy number.

412583585472 is a `hidden beast` number, since 4 + 1 + 2 + 58 + 3 + 585 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×412583585472² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (412583585471) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65310058 + ... + 65316374.

Almost surely, 2^412583585472 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 412583585472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627969750408).

412583585472 is an abundant number, since it is smaller than the sum of its proper divisors (843355915344).

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

412583585472 is a wasteful number, since it uses less digits than its factorization.

412583585472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6677 (or 6658 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 412583585472 in words is "four hundred twelve billion, five hundred eighty-three million, five hundred eighty-five thousand, four hundred seventy-two".