13992609040 has 80 divisors (see below), whose sum is σ = 33964009200. Its totient is φ = 5354366976.

The previous prime is 13992608963. The next prime is 13992609041. The reversal of 13992609040 is 4090629931.

It can be written as a sum of positive squares in 8 ways, for example, as 253956096 + 13738652944 = 15936^2 + 117212^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13992609041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225214 + ... + 280546.

It is an arithmetic number, because the mean of its divisors is an integer number (424550115).

Almost surely, 2^13992609040 is an apocalyptic number.

13992609040 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 13992609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982004600).

13992609040 is an abundant number, since it is smaller than the sum of its proper divisors (19971400160).

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

13992609040 is a wasteful number, since it uses less digits than its factorization.

13992609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55484 (or 55478 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 13992609040 in words is "thirteen billion, nine hundred ninety-two million, six hundred nine thousand, forty".