440443141400 has 96 divisors (see below), whose sum is σ = 1068891586560. Its totient is φ = 168464039040.

The previous prime is 440443141361. The next prime is 440443141409. The reversal of 440443141400 is 4141344044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440443141409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16468439 + ... + 16495161.

It is an arithmetic number, because the mean of its divisors is an integer number (11134287360).

Almost surely, 2^440443141400 is an apocalyptic number.

440443141400 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 440443141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534445793280).

440443141400 is an abundant number, since it is smaller than the sum of its proper divisors (628448445160).

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

440443141400 is a wasteful number, since it uses less digits than its factorization.

440443141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30345 (or 30336 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 440443141400 its reverse (4141344044), we get a palindrome (444584485444).

The spelling of 440443141400 in words is "four hundred forty billion, four hundred forty-three million, one hundred forty-one thousand, four hundred".