13982305440 has 96 divisors (see below), whose sum is σ = 45118575936. Its totient is φ = 3637667840.

The previous prime is 13982305417. The next prime is 13982305459. The reversal of 13982305440 is 4450328931.

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

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, 335562 + ... + 374921.

It is an arithmetic number, because the mean of its divisors is an integer number (469985166).

Almost surely, 2^13982305440 is an apocalyptic number.

13982305440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13982305440 is an abundant number, since it is smaller than the sum of its proper divisors (31136270496).

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

13982305440 is a wasteful number, since it uses less digits than its factorization.

13982305440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710542 (or 710534 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 13982305440 in words is "thirteen billion, nine hundred eighty-two million, three hundred five thousand, four hundred forty".