4401266688 has 432 divisors, whose sum is σ = 16030568736. Its totient is φ = 1132462080.

The previous prime is 4401266687. The next prime is 4401266689. The reversal of 4401266688 is 8866621044.

It is an interprime number because it is at equal distance from previous prime (4401266687) and next prime (4401266689).

It is a super-2 number, since 2×4401266688² = 38742296917796978688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401266687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107347948 + ... + 107347988.

It is an arithmetic number, because the mean of its divisors is an integer number (37107798).

Almost surely, 2^4401266688 is an apocalyptic number.

4401266688 is a gapful number since it is divisible by the number (48) 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 4401266688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8015284368).

4401266688 is an abundant number, since it is smaller than the sum of its proper divisors (11629302048).

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

4401266688 is an equidigital number, since it uses as much as digits as its factorization.

4401266688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 4401266688 is about 66342.0431400782. The cubic root of 4401266688 is about 1638.7997722387.

The spelling of 4401266688 in words is "four billion, four hundred one million, two hundred sixty-six thousand, six hundred eighty-eight".