13840043480640 has 672 divisors, whose sum is σ = 51730152714240. Its totient is φ = 3375989342208.

The previous prime is 13840043480629. The next prime is 13840043480651. The reversal of 13840043480640 is 4608434004831.

13840043480640 is a `hidden beast` number, since 1 + 3 + 84 + 0 + 0 + 434 + 80 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13840043480629) and next prime (13840043480651).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7736188866 + ... + 7736190654.

It is an arithmetic number, because the mean of its divisors is an integer number (76979393920).

Almost surely, 2^{13840043480640} is an apocalyptic number.

13840043480640 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 13840043480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25865076357120).

13840043480640 is an abundant number, since it is smaller than the sum of its proper divisors (37890109233600).

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

13840043480640 is a wasteful number, since it uses less digits than its factorization.

13840043480640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 13840043480640 in words is "thirteen trillion, eight hundred forty billion, forty-three million, four hundred eighty thousand, six hundred forty".