13691190040 has 192 divisors, whose sum is σ = 36254096640. Its totient is φ = 4612945920.

The previous prime is 13691190001. The next prime is 13691190061. The reversal of 13691190040 is 4009119631.

It is a happy number.

It is a super-2 number, since 2×13691190040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 13691189978 and 13691190005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8518917 + ... + 8520523.

It is an arithmetic number, because the mean of its divisors is an integer number (188823420).

Almost surely, 2^13691190040 is an apocalyptic number.

13691190040 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 13691190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18127048320).

13691190040 is an abundant number, since it is smaller than the sum of its proper divisors (22562906600).

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

13691190040 is a wasteful number, since it uses less digits than its factorization.

13691190040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 1709 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The spelling of 13691190040 in words is "thirteen billion, six hundred ninety-one million, one hundred ninety thousand, forty".