3990710845440 has 408 divisors, whose sum is σ = 15092150372208. Its totient is φ = 967437189120.

The previous prime is 3990710845417. The next prime is 3990710845529. The reversal of 3990710845440 is 445480170993.

3990710845440 is a `hidden beast` number, since 3 + 9 + 9 + 0 + 7 + 10 + 84 + 544 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32378812 + ... + 32501828.

Almost surely, 2^{3990710845440} is an apocalyptic number.

3990710845440 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 3990710845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7546075186104).

3990710845440 is an abundant number, since it is smaller than the sum of its proper divisors (11101439526768).

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

3990710845440 is a wasteful number, since it uses less digits than its factorization.

3990710845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123071 (or 123038 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3990710845440 in words is "three trillion, nine hundred ninety billion, seven hundred ten million, eight hundred forty-five thousand, four hundred forty".