12740198400 has 396 divisors, whose sum is σ = 47328515052. Its totient is φ = 3397386240.

The previous prime is 12740198351. The next prime is 12740198411. The reversal of 12740198400 is 489104721.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 4! ⋅ (2!)¹⁰.

12740198400 is a `hidden beast` number, since 1 + 27 + 40 + 198 + 400 = 666.

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 polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2548039678 + ... + 2548039682.

Almost surely, 2^12740198400 is an apocalyptic number.

12740198400 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 12740198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23664257526).

12740198400 is an abundant number, since it is smaller than the sum of its proper divisors (34588316652).

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

12740198400 is an frugal number, since it uses more digits than its factorization.

12740198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

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

The spelling of 12740198400 in words is "twelve billion, seven hundred forty million, one hundred ninety-eight thousand, four hundred".