3981868450560 has 4608 divisors, whose sum is σ = 20273863680000. Its totient is φ = 737418608640.

The previous prime is 3981868450459. The next prime is 3981868450579. The reversal of 3981868450560 is 650548681893.

3981868450560 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 8 + 68 + 4 + 5 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 137305808626 + ... + 137305808654.

It is an arithmetic number, because the mean of its divisors is an integer number (4399710000).

Almost surely, 2^{3981868450560} is an apocalyptic number.

3981868450560 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 3981868450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10136931840000).

3981868450560 is an abundant number, since it is smaller than the sum of its proper divisors (16291995229440).

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

3981868450560 is an equidigital number, since it uses as much as digits as its factorization.

3981868450560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 3981868450560 in words is "three trillion, nine hundred eighty-one billion, eight hundred sixty-eight million, four hundred fifty thousand, five hundred sixty".