13743330440 has 128 divisors (see below), whose sum is σ = 36546232320. Its totient is φ = 4551724800.

The previous prime is 13743330371. The next prime is 13743330449. The reversal of 13743330440 is 4403334731.

It is a junction number, because it is equal to n+sod(n) for n = 13743330397 and 13743330406.

It is not an unprimeable number, because it can be changed into a prime (13743330449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6448175 + ... + 6450305.

It is an arithmetic number, because the mean of its divisors is an integer number (285517440).

Almost surely, 2^13743330440 is an apocalyptic number.

13743330440 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 13743330440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18273116160).

13743330440 is an abundant number, since it is smaller than the sum of its proper divisors (22802901880).

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

13743330440 is a wasteful number, since it uses less digits than its factorization.

13743330440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 32.

The spelling of 13743330440 in words is "thirteen billion, seven hundred forty-three million, three hundred thirty thousand, four hundred forty".