13040740440 has 1152 divisors, whose sum is σ = 58036305600. Its totient is φ = 2508226560.

The previous prime is 13040740429. The next prime is 13040740463. The reversal of 13040740440 is 4404704031.

It is a super-2 number, since 2×13040740440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 178640244 + ... + 178640316.

Almost surely, 2^13040740440 is an apocalyptic number.

13040740440 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 13040740440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29018152800).

13040740440 is an abundant number, since it is smaller than the sum of its proper divisors (44995565160).

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

13040740440 is a wasteful number, since it uses less digits than its factorization.

13040740440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 13040740440 in words is "thirteen billion, forty million, seven hundred forty thousand, four hundred forty".