440130224000 has 128 divisors (see below), whose sum is σ = 1095121123200. Its totient is φ = 175915776000.

The previous prime is 440130223963. The next prime is 440130224047. The reversal of 440130224000 is 422031044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×440130224000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22086041 + ... + 22105959.

It is an arithmetic number, because the mean of its divisors is an integer number (8555633775).

Almost surely, 2^440130224000 is an apocalyptic number.

440130224000 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 440130224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547560561600).

440130224000 is an abundant number, since it is smaller than the sum of its proper divisors (654990899200).

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

440130224000 is a wasteful number, since it uses less digits than its factorization.

440130224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21329 (or 21307 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 440130224000 its reverse (422031044), we get a palindrome (440552255044).

The spelling of 440130224000 in words is "four hundred forty billion, one hundred thirty million, two hundred twenty-four thousand".