13400024640 has 224 divisors, whose sum is σ = 44070276096. Its totient is φ = 3447306240.

The previous prime is 13400024623. The next prime is 13400024653. The reversal of 13400024640 is 4642000431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13400024640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424285 + ... + 3428195.

It is an arithmetic number, because the mean of its divisors is an integer number (196742304).

Almost surely, 2^13400024640 is an apocalyptic number.

13400024640 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 13400024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22035138048).

13400024640 is an abundant number, since it is smaller than the sum of its proper divisors (30670251456).

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

13400024640 is a wasteful number, since it uses less digits than its factorization.

13400024640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4057 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 13400024640 in words is "thirteen billion, four hundred million, twenty-four thousand, six hundred forty".