13748965440 has 448 divisors, whose sum is σ = 52845004800. Its totient is φ = 2958557184.

The previous prime is 13748965397. The next prime is 13748965487. The reversal of 13748965440 is 4456984731.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32813551 + ... + 32813969.

It is an arithmetic number, because the mean of its divisors is an integer number (117957600).

Almost surely, 2^13748965440 is an apocalyptic number.

13748965440 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 13748965440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26422502400).

13748965440 is an abundant number, since it is smaller than the sum of its proper divisors (39096039360).

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

13748965440 is a wasteful number, since it uses less digits than its factorization.

13748965440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 13748965440 in words is "thirteen billion, seven hundred forty-eight million, nine hundred sixty-five thousand, four hundred forty".