12942580464000 has 1536 divisors, whose sum is σ = 54011259993600. Its totient is φ = 3052422144000.

The previous prime is 12942580463993. The next prime is 12942580464071. The reversal of 12942580464000 is 46408524921.

It is a happy number.

12942580464000 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 2 + 580 + 4 + 64 + 0 + 0 + 0 = 666.

12942580464000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×12942580464000² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1582411911 + ... + 1582420089.

It is an arithmetic number, because the mean of its divisors is an integer number (35163580725).

Almost surely, 2^{12942580464000} is an apocalyptic number.

12942580464000 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 12942580464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27005629996800).

12942580464000 is an abundant number, since it is smaller than the sum of its proper divisors (41068679529600).

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

12942580464000 is an equidigital number, since it uses as much as digits as its factorization.

12942580464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8271 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 12942580464000 its reverse (46408524921), we get a palindrome (12988988988921).

The spelling of 12942580464000 in words is "twelve trillion, nine hundred forty-two billion, five hundred eighty million, four hundred sixty-four thousand".