13748797440 has 720 divisors, whose sum is σ = 57856008672. Its totient is φ = 3057647616.

The previous prime is 13748797417. The next prime is 13748797441. The reversal of 13748797440 is 4479784731.

13748797440 is a `hidden beast` number, since 1 + 37 + 4 + 87 + 97 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 3552 × 3360 × 1152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13748797441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371589102 + ... + 371589138.

Almost surely, 2^13748797440 is an apocalyptic number.

13748797440 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 13748797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28928004336).

13748797440 is an abundant number, since it is smaller than the sum of its proper divisors (44107211232).

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

13748797440 is an frugal number, since it uses more digits than its factorization.

13748797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 13748797440 in words is "thirteen billion, seven hundred forty-eight million, seven hundred ninety-seven thousand, four hundred forty".