412074190080 has 1152 divisors, whose sum is σ = 1792788802560. Its totient is φ = 88576229376.

The previous prime is 412074190019. The next prime is 412074190093. The reversal of 412074190080 is 80091470214.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 333123222 + ... + 333124458.

It is an arithmetic number, because the mean of its divisors is an integer number (1556240280).

Almost surely, 2^412074190080 is an apocalyptic number.

412074190080 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 412074190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896394401280).

412074190080 is an abundant number, since it is smaller than the sum of its proper divisors (1380714612480).

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

412074190080 is an equidigital number, since it uses as much as digits as its factorization.

412074190080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1303 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 412074190080 in words is "four hundred twelve billion, seventy-four million, one hundred ninety thousand, eighty".