1442413344040 has 64 divisors (see below), whose sum is σ = 3290370451200. Its totient is φ = 568993082112.

The previous prime is 1442413344007. The next prime is 1442413344077. The reversal of 1442413344040 is 404433142441.

It is a junction number, because it is equal to n+sod(n) for n = 1442413343987 and 1442413344005.

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, 2427919 + ... + 2963041.

It is an arithmetic number, because the mean of its divisors is an integer number (51412038300).

Almost surely, 2^{1442413344040} is an apocalyptic number.

1442413344040 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 1442413344040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645185225600).

1442413344040 is an abundant number, since it is smaller than the sum of its proper divisors (1847957107160).

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

1442413344040 is a wasteful number, since it uses less digits than its factorization.

1442413344040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536066 (or 536062 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 1442413344040 its reverse (404433142441), we get a palindrome (1846846486481).

The spelling of 1442413344040 in words is "one trillion, four hundred forty-two billion, four hundred thirteen million, three hundred forty-four thousand, forty".