440046794880 has 1152 divisors, whose sum is σ = 1968697560960. Its totient is φ = 91371110400.

The previous prime is 440046794867. The next prime is 440046794921. The reversal of 440046794880 is 88497640044.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 323325400 + ... + 323326760.

It is an arithmetic number, because the mean of its divisors is an integer number (1708938855).

Almost surely, 2^440046794880 is an apocalyptic number.

440046794880 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 440046794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984348780480).

440046794880 is an abundant number, since it is smaller than the sum of its proper divisors (1528650766080).

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

440046794880 is an equidigital number, since it uses as much as digits as its factorization.

440046794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 440046794880 in words is "four hundred forty billion, forty-six million, seven hundred ninety-four thousand, eight hundred eighty".