440440431000 has 256 divisors, whose sum is σ = 1417924085760. Its totient is φ = 113763225600.

The previous prime is 440440430971. The next prime is 440440431031. The reversal of 440440431000 is 134044044.

It is a super-2 number, since 2×440440431000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13660899 + ... + 13693101.

It is an arithmetic number, because the mean of its divisors is an integer number (5538765960).

Almost surely, 2^440440431000 is an apocalyptic number.

440440431000 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 440440431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708962042880).

440440431000 is an abundant number, since it is smaller than the sum of its proper divisors (977483654760).

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

440440431000 is a wasteful number, since it uses less digits than its factorization.

440440431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32371 (or 32357 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 440440431000 its reverse (134044044), we get a palindrome (440574475044).

The spelling of 440440431000 in words is "four hundred forty billion, four hundred forty million, four hundred thirty-one thousand".