4401044400 has 60 divisors (see below), whose sum is σ = 14098016072. Its totient is φ = 1173611520.

The previous prime is 4401044387. The next prime is 4401044413. The reversal of 4401044400 is 44401044.

It is an interprime number because it is at equal distance from previous prime (4401044387) and next prime (4401044413).

It is a tau number, because it is divible by the number of its divisors (60).

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, 1832569 + ... + 1834968.

Almost surely, 2^4401044400 is an apocalyptic number.

4401044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401044400 is an abundant number, since it is smaller than the sum of its proper divisors (9696971672).

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

4401044400 is a wasteful number, since it uses less digits than its factorization.

4401044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667558 (or 3667547 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 4401044400 is about 66340.3678012114. The cubic root of 4401044400 is about 1638.7721823286.

Adding to 4401044400 its reverse (44401044), we get a palindrome (4445445444).

It can be divided in two parts, 44010 and 44400, that added together give a triangular number (88410 = T₄₂₀).

The spelling of 4401044400 in words is "four billion, four hundred one million, forty-four thousand, four hundred".