13285681440 has 48 divisors (see below), whose sum is σ = 41849898048. Its totient is φ = 3542848256.

The previous prime is 13285681399. The next prime is 13285681447. The reversal of 13285681440 is 4418658231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 13285681392 and 13285681401.

It is not an unprimeable number, because it can be changed into a prime (13285681447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13838772 + ... + 13839731.

It is an arithmetic number, because the mean of its divisors is an integer number (871872876).

Almost surely, 2^13285681440 is an apocalyptic number.

13285681440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13285681440 is an abundant number, since it is smaller than the sum of its proper divisors (28564216608).

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

13285681440 is a wasteful number, since it uses less digits than its factorization.

13285681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27678521 (or 27678513 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 13285681440 in words is "thirteen billion, two hundred eighty-five million, six hundred eighty-one thousand, four hundred forty".