1442114130340 has 96 divisors (see below), whose sum is σ = 3374398712160. Its totient is φ = 514029465600.

The previous prime is 1442114130329. The next prime is 1442114130409. The reversal of 1442114130340 is 430314112441.

It can be written as a sum of positive squares in 16 ways, for example, as 1220512333824 + 221601796516 = 1104768^2 + 470746^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1442114130299 and 1442114130308.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65896200 + ... + 65918080.

It is an arithmetic number, because the mean of its divisors is an integer number (35149986585).

Almost surely, 2^{1442114130340} is an apocalyptic number.

1442114130340 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 1442114130340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687199356080).

1442114130340 is an abundant number, since it is smaller than the sum of its proper divisors (1932284581820).

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

1442114130340 is a wasteful number, since it uses less digits than its factorization.

1442114130340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30673 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1442114130340 its reverse (430314112441), we get a palindrome (1872428242781).

The spelling of 1442114130340 in words is "one trillion, four hundred forty-two billion, one hundred fourteen million, one hundred thirty thousand, three hundred forty".