13368509440 has 528 divisors, whose sum is σ = 40978647360. Its totient is φ = 4114022400.

The previous prime is 13368509423. The next prime is 13368509447. The reversal of 13368509440 is 4490586331.

It is a super-2 number, since 2×13368509440² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13368509447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431242225 + ... + 431242255.

Almost surely, 2^13368509440 is an apocalyptic number.

13368509440 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 13368509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489323680).

13368509440 is an abundant number, since it is smaller than the sum of its proper divisors (27610137920).

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

13368509440 is a wasteful number, since it uses less digits than its factorization.

13368509440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 13368509440 in words is "thirteen billion, three hundred sixty-eight million, five hundred nine thousand, four hundred forty".