4044399392880 has 1440 divisors, whose sum is σ = 18336790031040. Its totient is φ = 787211550720.

The previous prime is 4044399392807. The next prime is 4044399392893. The reversal of 4044399392880 is 882939934404.

4044399392880 is a `hidden beast` number, since 4 + 0 + 443 + 9 + 93 + 9 + 28 + 80 = 666.

It is a super-2 number, since 2×4044399392880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1510794102 + ... + 1510796778.

It is an arithmetic number, because the mean of its divisors is an integer number (12733881966).

Almost surely, 2^{4044399392880} is an apocalyptic number.

4044399392880 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 4044399392880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9168395015520).

4044399392880 is an abundant number, since it is smaller than the sum of its proper divisors (14292390638160).

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

4044399392880 is a wasteful number, since it uses less digits than its factorization.

4044399392880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2967 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 4044399392880 in words is "four trillion, forty-four billion, three hundred ninety-nine million, three hundred ninety-two thousand, eight hundred eighty".