13412557640 has 64 divisors (see below), whose sum is σ = 31869936000. Its totient is φ = 5069903872.

The previous prime is 13412557633. The next prime is 13412557651. The reversal of 13412557640 is 4675521431.

It is a junction number, because it is equal to n+sod(n) for n = 13412557594 and 13412557603.

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, 11465 + ... + 164184.

It is an arithmetic number, because the mean of its divisors is an integer number (497967750).

Almost surely, 2^13412557640 is an apocalyptic number.

13412557640 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 13412557640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15934968000).

13412557640 is an abundant number, since it is smaller than the sum of its proper divisors (18457378360).

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

13412557640 is a wasteful number, since it uses less digits than its factorization.

13412557640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175766 (or 175762 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 13412557640 in words is "thirteen billion, four hundred twelve million, five hundred fifty-seven thousand, six hundred forty".