4400337072768 has 384 divisors, whose sum is σ = 14510864776320. Its totient is φ = 1156829626368.

The previous prime is 4400337072767. The next prime is 4400337072793. The reversal of 4400337072768 is 8672707330044.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 4400337072768.

It is not an unprimeable number, because it can be changed into a prime (4400337072767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143988946 + ... + 144019502.

It is an arithmetic number, because the mean of its divisors is an integer number (37788710355).

Almost surely, 2^{4400337072768} is an apocalyptic number.

4400337072768 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 4400337072768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255432388160).

4400337072768 is an abundant number, since it is smaller than the sum of its proper divisors (10110527703552).

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

4400337072768 is a wasteful number, since it uses less digits than its factorization.

4400337072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30924 (or 30899 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 51.

The spelling of 4400337072768 in words is "four trillion, four hundred billion, three hundred thirty-seven million, seventy-two thousand, seven hundred sixty-eight".