4400766240 has 384 divisors, whose sum is σ = 15682947840. Its totient is φ = 1029783552.

The previous prime is 4400766221. The next prime is 4400766287. The reversal of 4400766240 is 426670044.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 15019534 + ... + 15019826.

It is an arithmetic number, because the mean of its divisors is an integer number (40841010).

Almost surely, 2^4400766240 is an apocalyptic number.

4400766240 is a gapful number since it is divisible by the number (40) 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 4400766240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841473920).

4400766240 is an abundant number, since it is smaller than the sum of its proper divisors (11282181600).

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

4400766240 is a wasteful number, since it uses less digits than its factorization.

4400766240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 4400766240 is about 66338.2713069914. The cubic root of 4400766240 is about 1638.7376563969.

The spelling of 4400766240 in words is "four billion, four hundred million, seven hundred sixty-six thousand, two hundred forty".