12457440000 has 540 divisors, whose sum is σ = 46195581432. Its totient is φ = 3225600000.

The previous prime is 12457439989. The next prime is 12457440029. The reversal of 12457440000 is 4475421.

It is a super-2 number, since 2×12457440000² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 59039895 + ... + 59040105.

Almost surely, 2^12457440000 is an apocalyptic number.

12457440000 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 12457440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23097790716).

12457440000 is an abundant number, since it is smaller than the sum of its proper divisors (33738141432).

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

12457440000 is an equidigital number, since it uses as much as digits as its factorization.

12457440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The spelling of 12457440000 in words is "twelve billion, four hundred fifty-seven million, four hundred forty thousand".