13707444240 has 480 divisors, whose sum is σ = 55771608960. Its totient is φ = 3084770304.

The previous prime is 13707444229. The next prime is 13707444253. The reversal of 13707444240 is 4244470731.

It is a happy number.

13707444240 is a `hidden beast` number, since 1 + 370 + 7 + 4 + 44 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13707444195 and 13707444204.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7090314 + ... + 7092246.

It is an arithmetic number, because the mean of its divisors is an integer number (116190852).

Almost surely, 2^13707444240 is an apocalyptic number.

13707444240 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 13707444240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885804480).

13707444240 is an abundant number, since it is smaller than the sum of its proper divisors (42064164720).

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

13707444240 is a wasteful number, since it uses less digits than its factorization.

13707444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036 (or 2017 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 13707444240 in words is "thirteen billion, seven hundred seven million, four hundred forty-four thousand, two hundred forty".