12057981440 has 80 divisors (see below), whose sum is σ = 28940915520. Its totient is φ = 4818186240.

The previous prime is 12057981401. The next prime is 12057981473. The reversal of 12057981440 is 4418975021.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3374855 + ... + 3378425.

It is an arithmetic number, because the mean of its divisors is an integer number (361761444).

Almost surely, 2^12057981440 is an apocalyptic number.

12057981440 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 12057981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14470457760).

12057981440 is an abundant number, since it is smaller than the sum of its proper divisors (16882934080).

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

12057981440 is an equidigital number, since it uses as much as digits as its factorization.

12057981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4913 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 12057981440 in words is "twelve billion, fifty-seven million, nine hundred eighty-one thousand, four hundred forty".