4040442400 has 72 divisors (see below), whose sum is σ = 10203917220. Its totient is φ = 1560437760.

The previous prime is 4040442391. The next prime is 4040442401. The reversal of 4040442400 is 42440404.

It can be written as a sum of positive squares in 6 ways, for example, as 895924624 + 3144517776 = 29932^2 + 56076^2 .

It is not an unprimeable number, because it can be changed into a prime (4040442401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63879 + ... + 110278.

Almost surely, 2^4040442400 is an apocalyptic number.

4040442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4040442400 is an abundant number, since it is smaller than the sum of its proper divisors (6163474820).

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

4040442400 is a wasteful number, since it uses less digits than its factorization.

4040442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174206 (or 174193 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 4040442400 is about 63564.4743547841. The cubic root of 4040442400 is about 1592.7329814961.

Adding to 4040442400 its reverse (42440404), we get a palindrome (4082882804).

The spelling of 4040442400 in words is "four billion, forty million, four hundred forty-two thousand, four hundred".