13977281293840 has 40 divisors (see below), whose sum is σ = 32502776296320. Its totient is φ = 5589949543296.

The previous prime is 13977281293817. The next prime is 13977281293849. The reversal of 13977281293840 is 4839218277931.

13977281293840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13977281293849) 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, 14579010 + ... + 15508129.

It is an arithmetic number, because the mean of its divisors is an integer number (812569407408).

Almost surely, 2^{13977281293840} is an apocalyptic number.

13977281293840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13977281293840 is an abundant number, since it is smaller than the sum of its proper divisors (18525495002480).

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

13977281293840 is a wasteful number, since it uses less digits than its factorization.

13977281293840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30092959 (or 30092953 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 64.

The spelling of 13977281293840 in words is "thirteen trillion, nine hundred seventy-seven billion, two hundred eighty-one million, two hundred ninety-three thousand, eight hundred forty".