412259397264 has 480 divisors, whose sum is σ = 1411885133568. Its totient is φ = 110605824000.

The previous prime is 412259397233. The next prime is 412259397271. The reversal of 412259397264 is 462793952214.

It is a happy number.

412259397264 is a `hidden beast` number, since 4 + 1 + 22 + 593 + 9 + 7 + 26 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 412259397264.

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, 54091374 + ... + 54098994.

Almost surely, 2^412259397264 is an apocalyptic number.

412259397264 is a gapful number since it is divisible by the number (44) 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 412259397264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705942566784).

412259397264 is an abundant number, since it is smaller than the sum of its proper divisors (999625736304).

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

412259397264 is a wasteful number, since it uses less digits than its factorization.

412259397264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7767 (or 7758 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 412259397264 in words is "four hundred twelve billion, two hundred fifty-nine million, three hundred ninety-seven thousand, two hundred sixty-four".