412632094320 has 320 divisors, whose sum is σ = 1530930585600. Its totient is φ = 101855508480.

The previous prime is 412632094313. The next prime is 412632094337. The reversal of 412632094320 is 23490236214.

412632094320 is a `hidden beast` number, since 4 + 1 + 2 + 6 + 320 + 9 + 4 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1406116 + ... + 1674044.

It is an arithmetic number, because the mean of its divisors is an integer number (4784158080).

Almost surely, 2^412632094320 is an apocalyptic number.

412632094320 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 412632094320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765465292800).

412632094320 is an abundant number, since it is smaller than the sum of its proper divisors (1118298491280).

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

412632094320 is a wasteful number, since it uses less digits than its factorization.

412632094320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268005 (or 267993 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 412632094320 in words is "four hundred twelve billion, six hundred thirty-two million, ninety-four thousand, three hundred twenty".