12728737440 has 96 divisors (see below), whose sum is σ = 44550596160. Its totient is φ = 3394328832.

The previous prime is 12728737429. The next prime is 12728737453. The reversal of 12728737440 is 4473782721.

12728737440 is a `hidden beast` number, since 1 + 272 + 8 + 7 + 374 + 4 + 0 = 666.

12728737440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1468914 + ... + 1477553.

It is an arithmetic number, because the mean of its divisors is an integer number (464068710).

Almost surely, 2^12728737440 is an apocalyptic number.

12728737440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12728737440 is an abundant number, since it is smaller than the sum of its proper divisors (31821858720).

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

12728737440 is a wasteful number, since it uses less digits than its factorization.

12728737440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946491 (or 2946477 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 12728737440 in words is "twelve billion, seven hundred twenty-eight million, seven hundred thirty-seven thousand, four hundred forty".