440032221004344 has 256 divisors, whose sum is σ = 1173850030080000. Its totient is φ = 137064675456000.

The previous prime is 440032221004291. The next prime is 440032221004349. The reversal of 440032221004344 is 443400122230044.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440032221004349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71631483337 + ... + 71631489479.

It is an arithmetic number, because the mean of its divisors is an integer number (4585351680000).

Almost surely, 2^{440032221004344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440032221004344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586925015040000).

440032221004344 is an abundant number, since it is smaller than the sum of its proper divisors (733817809075656).

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

440032221004344 is a wasteful number, since it uses less digits than its factorization.

440032221004344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378 (or 12374 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 440032221004344 its reverse (443400122230044), we get a palindrome (883432343234388).

The spelling of 440032221004344 in words is "four hundred forty trillion, thirty-two billion, two hundred twenty-one million, four thousand, three hundred forty-four".