4045941984 has 192 divisors, whose sum is σ = 12635191296. Its totient is φ = 1109581824.

The previous prime is 4045941973. The next prime is 4045942027. The reversal of 4045941984 is 4891495404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1672744 + ... + 1675160.

It is an arithmetic number, because the mean of its divisors is an integer number (65808288).

Almost surely, 2^4045941984 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 4045941984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317595648).

4045941984 is an abundant number, since it is smaller than the sum of its proper divisors (8589249312).

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

4045941984 is a wasteful number, since it uses less digits than its factorization.

4045941984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 4045941984 is about 63607.7195315160. The cubic root of 4045941984 is about 1593.4552949403.

The spelling of 4045941984 in words is "four billion, forty-five million, nine hundred forty-one thousand, nine hundred eighty-four".