412845037920 has 480 divisors, whose sum is σ = 1672690618368. Its totient is φ = 93936817152.

The previous prime is 412845037903. The next prime is 412845037991. The reversal of 412845037920 is 29730548214.

412845037920 is a `hidden beast` number, since 4 + 128 + 450 + 3 + 79 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20220357 + ... + 20240763.

Almost surely, 2^412845037920 is an apocalyptic number.

412845037920 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 412845037920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836345309184).

412845037920 is an abundant number, since it is smaller than the sum of its proper divisors (1259845580448).

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

412845037920 is a wasteful number, since it uses less digits than its factorization.

412845037920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 20647 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 412845037920 in words is "four hundred twelve billion, eight hundred forty-five million, thirty-seven thousand, nine hundred twenty".