3993161418720 has 1536 divisors, whose sum is σ = 15624840591360. Its totient is φ = 960149127168.

The previous prime is 3993161418713. The next prime is 3993161418781. The reversal of 3993161418720 is 278141613993.

3993161418720 is a `hidden beast` number, since 3 + 9 + 9 + 3 + 1 + 614 + 18 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17138031724 + ... + 17138031956.

It is an arithmetic number, because the mean of its divisors is an integer number (10172422260).

Almost surely, 2^{3993161418720} is an apocalyptic number.

3993161418720 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 3993161418720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7812420295680).

3993161418720 is an abundant number, since it is smaller than the sum of its proper divisors (11631679172640).

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

3993161418720 is a wasteful number, since it uses less digits than its factorization.

3993161418720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 3993161418720 in words is "three trillion, nine hundred ninety-three billion, one hundred sixty-one million, four hundred eighteen thousand, seven hundred twenty".