4004403140 has 48 divisors (see below), whose sum is σ = 8916566400. Its totient is φ = 1506362112.

The previous prime is 4004403131. The next prime is 4004403157. The reversal of 4004403140 is 413044004.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13601 + ... + 90519.

It is an arithmetic number, because the mean of its divisors is an integer number (185761800).

Almost surely, 2^4004403140 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 4004403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4458283200).

4004403140 is an abundant number, since it is smaller than the sum of its proper divisors (4912163260).

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

4004403140 is a wasteful number, since it uses less digits than its factorization.

4004403140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77084 (or 77082 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4004403140 is about 63280.3535072300. The cubic root of 4004403140 is about 1587.9833007992.

Adding to 4004403140 its reverse (413044004), we get a palindrome (4417447144).

The spelling of 4004403140 in words is "four billion, four million, four hundred three thousand, one hundred forty".