412092520320 has 512 divisors, whose sum is σ = 1432788940800. Its totient is φ = 100739358720.

The previous prime is 412092520309. The next prime is 412092520339. The reversal of 412092520320 is 23025290214.

It is a super-2 number, since 2×412092520320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890048409 + ... + 890048871.

It is an arithmetic number, because the mean of its divisors is an integer number (2798415900).

Almost surely, 2^412092520320 is an apocalyptic number.

412092520320 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 412092520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716394470400).

412092520320 is an abundant number, since it is smaller than the sum of its proper divisors (1020696420480).

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

412092520320 is a wasteful number, since it uses less digits than its factorization.

412092520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 412092520320 in words is "four hundred twelve billion, ninety-two million, five hundred twenty thousand, three hundred twenty".