4084044400 has 30 divisors (see below), whose sum is σ = 9811917632. Its totient is φ = 1633617600.

The previous prime is 4084044397. The next prime is 4084044401. The reversal of 4084044400 is 44404804.

It is a super-2 number, since 2×4084044400² = 33358837322342720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4084044401) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 5104656 + ... + 5105455.

Almost surely, 2^4084044400 is an apocalyptic number.

4084044400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084044400 is an abundant number, since it is smaller than the sum of its proper divisors (5727873232).

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

4084044400 is a wasteful number, since it uses less digits than its factorization.

4084044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10210129 (or 10210118 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 4084044400 is about 63906.5286179745. The cubic root of 4084044400 is about 1598.4417641809.

The spelling of 4084044400 in words is "four billion, eighty-four million, forty-four thousand, four hundred".