4000444000 has 96 divisors (see below), whose sum is σ = 11233325376. Its totient is φ = 1371571200.

The previous prime is 4000443803. The next prime is 4000444009. The reversal of 4000444000 is 4440004.

It is a Harshad number since it is a multiple of its sum of digits (16).

4000444000 is a modest number, since divided by 444000 gives 4000 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000444009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43437 + ... + 99436.

It is an arithmetic number, because the mean of its divisors is an integer number (117013806).

Almost surely, 2^4000444000 is an apocalyptic number.

4000444000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000444000 is an abundant number, since it is smaller than the sum of its proper divisors (7232881376).

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

4000444000 is a wasteful number, since it uses less digits than its factorization.

4000444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142905 (or 142887 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4000444000 is about 63249.0632341697. The cubic root of 4000444000 is about 1587.4597836341.

Adding to 4000444000 its reverse (4440004), we get a palindrome (4004884004).

The spelling of 4000444000 in words is "four billion, four hundred forty-four thousand".