3980985719040 has 2016 divisors, whose sum is σ = 16648453584000. Its totient is φ = 901528289280.

The previous prime is 3980985719003. The next prime is 3980985719071. The reversal of 3980985719040 is 409175890893.

3980985719040 is a `hidden beast` number, since 398 + 0 + 9 + 8 + 57 + 190 + 4 + 0 = 666.

3980985719040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 26718024886 + ... + 26718025034.

It is an arithmetic number, because the mean of its divisors is an integer number (8258161500).

Almost surely, 2^{3980985719040} is an apocalyptic number.

3980985719040 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 3980985719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8324226792000).

3980985719040 is an abundant number, since it is smaller than the sum of its proper divisors (12667467864960).

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

3980985719040 is a wasteful number, since it uses less digits than its factorization.

3980985719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 3980985719040 in words is "three trillion, nine hundred eighty billion, nine hundred eighty-five million, seven hundred nineteen thousand, forty".