13974486840240 has 640 divisors, whose sum is σ = 46485675083520. Its totient is φ = 3465997516800.

The previous prime is 13974486840227. The next prime is 13974486840241. The reversal of 13974486840240 is 4204868447931.

13974486840240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (13974486840241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17021299030 + ... + 17021299850.

It is an arithmetic number, because the mean of its divisors is an integer number (72633867318).

Almost surely, 2^{13974486840240} is an apocalyptic number.

13974486840240 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 13974486840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23242837541760).

13974486840240 is an abundant number, since it is smaller than the sum of its proper divisors (32511188243280).

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

13974486840240 is a wasteful number, since it uses less digits than its factorization.

13974486840240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 60.

The spelling of 13974486840240 in words is "thirteen trillion, nine hundred seventy-four billion, four hundred eighty-six million, eight hundred forty thousand, two hundred forty".