3991413909600 has 2304 divisors, whose sum is σ = 17027810150400. Its totient is φ = 894136320000.

The previous prime is 3991413909559. The next prime is 3991413909601. The reversal of 3991413909600 is 69093141993.

3991413909600 is a `hidden beast` number, since 3 + 9 + 9 + 14 + 13 + 9 + 0 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3991413909601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18916653495 + ... + 18916653705.

It is an arithmetic number, because the mean of its divisors is an integer number (7390542600).

Almost surely, 2^{3991413909600} is an apocalyptic number.

3991413909600 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 3991413909600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8513905075200).

3991413909600 is an abundant number, since it is smaller than the sum of its proper divisors (13036396240800).

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

3991413909600 is a wasteful number, since it uses less digits than its factorization.

3991413909600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 3991413909600 in words is "three trillion, nine hundred ninety-one billion, four hundred thirteen million, nine hundred nine thousand, six hundred".