4000440400 has 120 divisors (see below), whose sum is σ = 10527701184. Its totient is φ = 1448755200.

The previous prime is 4000440383. The next prime is 4000440413. The reversal of 4000440400 is 40440004.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1155472 + ... + 1158928.

Almost surely, 2^4000440400 is an apocalyptic number.

4000440400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5263850592).

4000440400 is an abundant number, since it is smaller than the sum of its proper divisors (6527260784).

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

4000440400 is a wasteful number, since it uses less digits than its factorization.

4000440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3738 counting only the distinct ones).

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

The square root of 4000440400 is about 63249.0347752438. The cubic root of 4000440400 is about 1587.4593074489.

Adding to 4000440400 its reverse (40440004), we get a palindrome (4040880404).

The spelling of 4000440400 in words is "four billion, four hundred forty thousand, four hundred".