4400077344768 has 2184 divisors, whose sum is σ = 17085094798680. Its totient is φ = 1123685498880.

The previous prime is 4400077344763. The next prime is 4400077344781. The reversal of 4400077344768 is 8674437700044.

It is a happy number.

4400077344768 is a `hidden beast` number, since 440 + 0 + 0 + 77 + 34 + 47 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270533136384 + 4129544208384 = 520128^2 + 2032128^2 .

It is a super-2 number, since 2×4400077344768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4400077344763) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 72132415458 + ... + 72132415518.

Almost surely, 2^{4400077344768} is an apocalyptic number.

4400077344768 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 4400077344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8542547399340).

4400077344768 is an abundant number, since it is smaller than the sum of its proper divisors (12685017453912).

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

4400077344768 is an equidigital number, since it uses as much as digits as its factorization.

4400077344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 4400077344768 in words is "four trillion, four hundred billion, seventy-seven million, three hundred forty-four thousand, seven hundred sixty-eight".