4090440384 has 336 divisors, whose sum is σ = 13017804800. Its totient is φ = 1269789696.

The previous prime is 4090440353. The next prime is 4090440437. The reversal of 4090440384 is 4830440904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 32208129 + ... + 32208255.

Almost surely, 2^4090440384 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 4090440384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508902400).

4090440384 is an abundant number, since it is smaller than the sum of its proper divisors (8927364416).

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

4090440384 is a wasteful number, since it uses less digits than its factorization.

4090440384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4090440384 is about 63956.5507512718. The cubic root of 4090440384 is about 1599.2757638924.

The spelling of 4090440384 in words is "four billion, ninety million, four hundred forty thousand, three hundred eighty-four".