12798577440 has 288 divisors, whose sum is σ = 47947588416. Its totient is φ = 3083028480.

The previous prime is 12798577391. The next prime is 12798577487. The reversal of 12798577440 is 4477589721.

12798577440 is a `hidden beast` number, since 1 + 27 + 9 + 8 + 577 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2579442 + ... + 2584398.

It is an arithmetic number, because the mean of its divisors is an integer number (166484682).

Almost surely, 2^12798577440 is an apocalyptic number.

12798577440 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 12798577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23973794208).

12798577440 is an abundant number, since it is smaller than the sum of its proper divisors (35149010976).

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

12798577440 is a wasteful number, since it uses less digits than its factorization.

12798577440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5152 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 12798577440 in words is "twelve billion, seven hundred ninety-eight million, five hundred seventy-seven thousand, four hundred forty".