12744950400 has 768 divisors, whose sum is σ = 57442156800. Its totient is φ = 2687385600.

The previous prime is 12744950389. The next prime is 12744950419. The reversal of 12744950400 is 405944721.

It is a happy number.

12744950400 is a `hidden beast` number, since 127 + 4 + 495 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7861590 + ... + 7863210.

It is an arithmetic number, because the mean of its divisors is an integer number (74794475).

Almost surely, 2^12744950400 is an apocalyptic number.

12744950400 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 12744950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28721078400).

12744950400 is an abundant number, since it is smaller than the sum of its proper divisors (44697206400).

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

12744950400 is a wasteful number, since it uses less digits than its factorization.

12744950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1674 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 12744950400 in words is "twelve billion, seven hundred forty-four million, nine hundred fifty thousand, four hundred".