4400404056 has 80 divisors (see below), whose sum is σ = 12353833800. Its totient is φ = 1463394816.

The previous prime is 4400404051. The next prime is 4400404061. The reversal of 4400404056 is 6504040044.

It is an interprime number because it is at equal distance from previous prime (4400404051) and next prime (4400404061).

It is a super-2 number, since 2×4400404056² = 38727111712122502272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400404051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 279400 + ... + 294728.

Almost surely, 2^4400404056 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 4400404056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6176916900).

4400404056 is an abundant number, since it is smaller than the sum of its proper divisors (7953429744).

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

4400404056 is a wasteful number, since it uses less digits than its factorization.

4400404056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15790 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4400404056 is about 66335.5414238853. The cubic root of 4400404056 is about 1638.6926990107.

The spelling of 4400404056 in words is "four billion, four hundred million, four hundred four thousand, fifty-six".