412320585600 has 1920 divisors, whose sum is σ = 1929783271680. Its totient is φ = 84204748800.

The previous prime is 412320585587. The next prime is 412320585629. The reversal of 412320585600 is 6585023214.

412320585600 is a `hidden beast` number, since 4 + 1 + 23 + 20 + 5 + 8 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 1456963059 + ... + 1456963341.

It is an arithmetic number, because the mean of its divisors is an integer number (1005095454).

Almost surely, 2^412320585600 is an apocalyptic number.

412320585600 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 412320585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964891635840).

412320585600 is an abundant number, since it is smaller than the sum of its proper divisors (1517462686080).

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

412320585600 is a wasteful number, since it uses less digits than its factorization.

412320585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 412320585600 in words is "four hundred twelve billion, three hundred twenty million, five hundred eighty-five thousand, six hundred".