412368757920 has 960 divisors, whose sum is σ = 1798842608640. Its totient is φ = 86808526848.

The previous prime is 412368757897. The next prime is 412368757949. The reversal of 412368757920 is 29757863214.

It is a happy number.

412368757920 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 68 + 7 + 579 + 2 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 72482436 + ... + 72488124.

It is an arithmetic number, because the mean of its divisors is an integer number (1873794384).

It is a 1-persistent number, because it is pandigital, but 2⋅412368757920 = 824737515840 is not.

Almost surely, 2^412368757920 is an apocalyptic number.

412368757920 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 412368757920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899421304320).

412368757920 is an abundant number, since it is smaller than the sum of its proper divisors (1386473850720).

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

412368757920 is a wasteful number, since it uses less digits than its factorization.

412368757920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5787 (or 5770 counting only the distinct ones).

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

The spelling of 412368757920 in words is "four hundred twelve billion, three hundred sixty-eight million, seven hundred fifty-seven thousand, nine hundred twenty".