13807689940 has 108 divisors (see below), whose sum is σ = 32211992988. Its totient is φ = 4967874560.

The previous prime is 13807689923. The next prime is 13807689941. The reversal of 13807689940 is 4998670831.

It can be written as a sum of positive squares in 6 ways, for example, as 426752964 + 13380936976 = 20658^2 + 115676^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13807689941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53726292 + ... + 53726548.

Almost surely, 2^13807689940 is an apocalyptic number.

13807689940 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 13807689940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16105996494).

13807689940 is an abundant number, since it is smaller than the sum of its proper divisors (18404303048).

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

13807689940 is a wasteful number, since it uses less digits than its factorization.

13807689940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 55.

The spelling of 13807689940 in words is "thirteen billion, eight hundred seven million, six hundred eighty-nine thousand, nine hundred forty".