4044100 has 36 divisors (see below), whose sum is σ = 9021124. Its totient is φ = 1572480.

The previous prime is 4044077. The next prime is 4044179. The reversal of 4044100 is 14404.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 665856 + 3378244 = 816^2 + 1838^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3154 + ... + 4246.

Almost surely, 2^4044100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4044100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4510562).

4044100 is an abundant number, since it is smaller than the sum of its proper divisors (4977024).

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

4044100 is a wasteful number, since it uses less digits than its factorization.

4044100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 4044100 is about 2010.9947787103. The cubic root of 4044100 is about 159.3213442346.

Adding to 4044100 its reverse (14404), we get a palindrome (4058504).

The spelling of 4044100 in words is "four million, forty-four thousand, one hundred".