3993914992440 has 128 divisors (see below), whose sum is σ = 12157020037440. Its totient is φ = 1049490763776.

The previous prime is 3993914992423. The next prime is 3993914992447. The reversal of 3993914992440 is 442994193993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3993914992447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9366114 + ... + 9783246.

Almost surely, 2^{3993914992440} is an apocalyptic number.

3993914992440 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 3993914992440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6078510018720).

3993914992440 is an abundant number, since it is smaller than the sum of its proper divisors (8163105045000).

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

3993914992440 is a wasteful number, since it uses less digits than its factorization.

3993914992440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418313 (or 418309 counting only the distinct ones).

The product of its (nonzero) digits is 68024448, while the sum is 66.

The spelling of 3993914992440 in words is "three trillion, nine hundred ninety-three billion, nine hundred fourteen million, nine hundred ninety-two thousand, four hundred forty".