12560349040 has 80 divisors (see below), whose sum is σ = 29845411200. Its totient is φ = 4914763776.

The previous prime is 12560348987. The next prime is 12560349073. The reversal of 12560349040 is 4094306521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12560348987 and 12560349005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679764 + ... + 697996.

It is an arithmetic number, because the mean of its divisors is an integer number (373067640).

Almost surely, 2^12560349040 is an apocalyptic number.

12560349040 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 12560349040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14922705600).

12560349040 is an abundant number, since it is smaller than the sum of its proper divisors (17285062160).

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

12560349040 is a wasteful number, since it uses less digits than its factorization.

12560349040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18434 (or 18428 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 12560349040 in words is "twelve billion, five hundred sixty million, three hundred forty-nine thousand, forty".