412106032800 has 3456 divisors, whose sum is σ = 2103165388800. Its totient is φ = 77598259200.

The previous prime is 412106032757. The next prime is 412106032801. The reversal of 412106032800 is 8230601214.

412106032800 is a `hidden beast` number, since 41 + 2 + 10 + 603 + 2 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (412106032801) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 17917653589 + ... + 17917653611.

It is an arithmetic number, because the mean of its divisors is an integer number (608554800).

Almost surely, 2^412106032800 is an apocalyptic number.

412106032800 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 412106032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051582694400).

412106032800 is an abundant number, since it is smaller than the sum of its proper divisors (1691059356000).

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

412106032800 is a wasteful number, since it uses less digits than its factorization.

412106032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 412106032800 in words is "four hundred twelve billion, one hundred six million, thirty-two thousand, eight hundred".