12753469440 has 480 divisors, whose sum is σ = 47245361130. Its totient is φ = 3291217920.

The previous prime is 12753469439. The next prime is 12753469457. The reversal of 12753469440 is 4496435721.

12753469440 is a `hidden beast` number, since 1 + 27 + 534 + 6 + 94 + 4 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11478122496 + 1275346944 = 107136^2 + 35712^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 411402225 + ... + 411402255.

Almost surely, 2^12753469440 is an apocalyptic number.

12753469440 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 12753469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23622680565).

12753469440 is an abundant number, since it is smaller than the sum of its proper divisors (34491891690).

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

12753469440 is an frugal number, since it uses more digits than its factorization.

12753469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 12753469440 in words is "twelve billion, seven hundred fifty-three million, four hundred sixty-nine thousand, four hundred forty".