12041507888640 has 240 divisors, whose sum is σ = 41771880678528. Its totient is φ = 3205774983168.

The previous prime is 12041507888623. The next prime is 12041507888659. The reversal of 12041507888640 is 4688870514021.

12041507888640 is a `hidden beast` number, since 1 + 20 + 415 + 0 + 78 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13554774 + ... + 14415786.

Almost surely, 2^{12041507888640} is an apocalyptic number.

12041507888640 is a gapful number since it is divisible by the number (10) 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 12041507888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20885940339264).

12041507888640 is an abundant number, since it is smaller than the sum of its proper divisors (29730372789888).

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

12041507888640 is an equidigital number, since it uses as much as digits as its factorization.

12041507888640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861649 (or 861630 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 12041507888640 in words is "twelve trillion, forty-one billion, five hundred seven million, eight hundred eighty-eight thousand, six hundred forty".