1442324311340 has 192 divisors, whose sum is σ = 3567116206080. Its totient is φ = 484194816000.

The previous prime is 1442324311331. The next prime is 1442324311447. The reversal of 1442324311340 is 431134232441.

It is a junction number, because it is equal to n+sod(n) for n = 1442324311297 and 1442324311306.

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, 163320725 + ... + 163329555.

It is an arithmetic number, because the mean of its divisors is an integer number (18578730240).

Almost surely, 2^{1442324311340} is an apocalyptic number.

1442324311340 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 1442324311340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783558103040).

1442324311340 is an abundant number, since it is smaller than the sum of its proper divisors (2124791894740).

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

1442324311340 is a wasteful number, since it uses less digits than its factorization.

1442324311340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9864 (or 9862 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 1442324311340 its reverse (431134232441), we get a palindrome (1873458543781).

The spelling of 1442324311340 in words is "one trillion, four hundred forty-two billion, three hundred twenty-four million, three hundred eleven thousand, three hundred forty".