3993501730440 has 256 divisors, whose sum is σ = 12297364531200. Its totient is φ = 1037204056064.

The previous prime is 3993501730433. The next prime is 3993501730459. The reversal of 3993501730440 is 440371053993.

It is a self number, because there is not a number n which added to its sum of digits gives 3993501730440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 307588189 + ... + 307601171.

It is an arithmetic number, because the mean of its divisors is an integer number (48036580200).

Almost surely, 2^{3993501730440} is an apocalyptic number.

3993501730440 is a gapful number since it is divisible by the number (30) 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 3993501730440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148682265600).

3993501730440 is an abundant number, since it is smaller than the sum of its proper divisors (8303862800760).

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

3993501730440 is a wasteful number, since it uses less digits than its factorization.

3993501730440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13516 (or 13512 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The spelling of 3993501730440 in words is "three trillion, nine hundred ninety-three billion, five hundred one million, seven hundred thirty thousand, four hundred forty".