412586525472 has 768 divisors, whose sum is σ = 1389714278400. Its totient is φ = 105469378560.

The previous prime is 412586525459. The next prime is 412586525479. The reversal of 412586525472 is 274525685214.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (412586525479) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 524251863 + ... + 524252649.

It is an arithmetic number, because the mean of its divisors is an integer number (1809523800).

Almost surely, 2^412586525472 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 412586525472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694857139200).

412586525472 is an abundant number, since it is smaller than the sum of its proper divisors (977127752928).

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

412586525472 is a wasteful number, since it uses less digits than its factorization.

412586525472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its digits is 5376000, while the sum is 51.

The spelling of 412586525472 in words is "four hundred twelve billion, five hundred eighty-six million, five hundred twenty-five thousand, four hundred seventy-two".