3983400041772 has 144 divisors (see below), whose sum is σ = 10308152655360. Its totient is φ = 1194736908288.

The previous prime is 3983400041743. The next prime is 3983400041809. The reversal of 3983400041772 is 2771400043893.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166455504 + ... + 166479432.

It is an arithmetic number, because the mean of its divisors is an integer number (71584393440).

Almost surely, 2^{3983400041772} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3983400041772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154076327680).

3983400041772 is an abundant number, since it is smaller than the sum of its proper divisors (6324752613588).

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

3983400041772 is a wasteful number, since it uses less digits than its factorization.

3983400041772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26080 (or 26061 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 3983400041772 in words is "three trillion, nine hundred eighty-three billion, four hundred million, forty-one thousand, seven hundred seventy-two".