4004400440 has 32 divisors (see below), whose sum is σ = 9031340160. Its totient is φ = 1597948800.

The previous prime is 4004400403. The next prime is 4004400451. The reversal of 4004400440 is 440044004.

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

4004400440 is a modest number, since divided by 4400440 gives 40 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102056 + ... + 135735.

It is an arithmetic number, because the mean of its divisors is an integer number (282229380).

Almost surely, 2^4004400440 is an apocalyptic number.

4004400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004400440 is an abundant number, since it is smaller than the sum of its proper divisors (5026939720).

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

4004400440 is a wasteful number, since it uses less digits than its factorization.

4004400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238223 (or 238219 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 4004400440 is about 63280.3321735909. The cubic root of 4004400440 is about 1587.9829438957.

Adding to 4004400440 its reverse (440044004), we get a palindrome (4444444444).

The spelling of 4004400440 in words is "four billion, four million, four hundred thousand, four hundred forty".