4044060400 has 60 divisors (see below), whose sum is σ = 9759639232. Its totient is φ = 1610334720.

The previous prime is 4044060343. The next prime is 4044060439. The reversal of 4044060400 is 40604404.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66532 + ... + 111868.

Almost surely, 2^4044060400 is an apocalyptic number.

4044060400 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 4044060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4879819616).

4044060400 is an abundant number, since it is smaller than the sum of its proper divisors (5715578832).

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

4044060400 is a wasteful number, since it uses less digits than its factorization.

4044060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45578 (or 45567 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4044060400 is about 63592.9272796905. The cubic root of 4044060400 is about 1593.2082420580.

Adding to 4044060400 its reverse (40604404), we get a palindrome (4084664804).

The spelling of 4044060400 in words is "four billion, forty-four million, sixty thousand, four hundred".