1441431440240 has 320 divisors, whose sum is σ = 3948497280000. Its totient is φ = 483505520640.

The previous prime is 1441431440237. The next prime is 1441431440261. The reversal of 1441431440240 is 420441341441.

It is a junction number, because it is equal to n+sod(n) for n = 1441431440197 and 1441431440206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316865486 + ... + 316870034.

It is an arithmetic number, because the mean of its divisors is an integer number (12339054000).

Almost surely, 2^{1441431440240} is an apocalyptic number.

1441431440240 is a gapful number since it is divisible by the number (10) 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 1441431440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640000).

1441431440240 is an abundant number, since it is smaller than the sum of its proper divisors (2507065839760).

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

1441431440240 is a wasteful number, since it uses less digits than its factorization.

1441431440240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 1441431440240 its reverse (420441341441), we get a palindrome (1861872781681).

The spelling of 1441431440240 in words is "one trillion, four hundred forty-one billion, four hundred thirty-one million, four hundred forty thousand, two hundred forty".