13714717440 has 144 divisors (see below), whose sum is σ = 45214718976. Its totient is φ = 3539251200.

The previous prime is 13714717391. The next prime is 13714717451. The reversal of 13714717440 is 4471741731.

13714717440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61435 + ... + 176645.

It is an arithmetic number, because the mean of its divisors is an integer number (313991104).

Almost surely, 2^13714717440 is an apocalyptic number.

13714717440 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 13714717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22607359488).

13714717440 is an abundant number, since it is smaller than the sum of its proper divisors (31500001536).

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

13714717440 is a wasteful number, since it uses less digits than its factorization.

13714717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115266 (or 115252 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The spelling of 13714717440 in words is "thirteen billion, seven hundred fourteen million, seven hundred seventeen thousand, four hundred forty".