3981082452480 has 960 divisors, whose sum is σ = 16783193306880. Its totient is φ = 885332312064.

The previous prime is 3981082452437. The next prime is 3981082452481. The reversal of 3981082452480 is 842542801893.

3981082452480 is a `hidden beast` number, since 3 + 9 + 8 + 10 + 8 + 24 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (3981082452481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 161106366 + ... + 161131074.

It is an arithmetic number, because the mean of its divisors is an integer number (17482493028).

Almost surely, 2^{3981082452480} is an apocalyptic number.

3981082452480 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 3981082452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8391596653440).

3981082452480 is an abundant number, since it is smaller than the sum of its proper divisors (12802110854400).

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

3981082452480 is an equidigital number, since it uses as much as digits as its factorization.

3981082452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24791 (or 24763 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 3981082452480 in words is "three trillion, nine hundred eighty-one billion, eighty-two million, four hundred fifty-two thousand, four hundred eighty".