412852007937600 has 2835 divisors, whose sum is σ = 1943023814428851. Its totient is φ = 85670394163200.

The previous prime is 412852007937497. The next prime is 412852007937613. The reversal of 412852007937600 is 6739700258214.

It is a happy number.

The square root of 412852007937600 is 20318760.

It is a perfect power (a square), and thus also a powerful number.

412852007937600 is a `hidden beast` number, since 4 + 1 + 2 + 8 + 5 + 20 + 0 + 7 + 9 + 3 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93377279628864 + 319474728308736 = 9663192^2 + 17873856^2 .

It is a tau number, because it is divible by the number of its divisors (2835).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 563236026834 + ... + 563236027566.

It is a 1-persistent number, because it is pandigital, but 2⋅412852007937600 = 825704015875200 is not.

Almost surely, 2^{412852007937600} is an apocalyptic number.

412852007937600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

412852007937600 is the 20318760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412852007937600

412852007937600 is an abundant number, since it is smaller than the sum of its proper divisors (1530171806491251).

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

412852007937600 is an equidigital number, since it uses as much as digits as its factorization.

412852007937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 412852007937600 in words is "four hundred twelve trillion, eight hundred fifty-two billion, seven million, nine hundred thirty-seven thousand, six hundred".