412853760000 has 1300 divisors, whose sum is σ = 1690541997144. Its totient is φ = 99532800000.

The previous prime is 412853759993. The next prime is 412853760013. The reversal of 412853760000 is 67358214.

412853760000 is a `hidden beast` number, since 4 + 1 + 285 + 376 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×412853760000² (a number of 24 digits) contains 22 as substring.

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 99 ways as a sum of consecutive naturals, for example, 2280959910 + ... + 2280960090.

Almost surely, 2^412853760000 is an apocalyptic number.

412853760000 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 412853760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845270998572).

412853760000 is an abundant number, since it is smaller than the sum of its proper divisors (1277688237144).

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

412853760000 is an equidigital number, since it uses as much as digits as its factorization.

412853760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 412853760000 in words is "four hundred twelve billion, eight hundred fifty-three million, seven hundred sixty thousand".