4400093376 has 504 divisors, whose sum is σ = 15611222016. Its totient is φ = 1179601920.

The previous prime is 4400093371. The next prime is 4400093387. The reversal of 4400093376 is 6733900044.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4400093376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4400093371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41122315 + ... + 41122421.

Almost surely, 2^4400093376 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 4400093376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7805611008).

4400093376 is an abundant number, since it is smaller than the sum of its proper divisors (11211128640).

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

4400093376 is a wasteful number, since it uses less digits than its factorization.

4400093376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4400093376 is about 66333.1996514566. The cubic root of 4400093376 is about 1638.6541327773.

The spelling of 4400093376 in words is "four billion, four hundred million, ninety-three thousand, three hundred seventy-six".