1442401214340 has 96 divisors (see below), whose sum is σ = 4064419586304. Its totient is φ = 382194787840.

The previous prime is 1442401214327. The next prime is 1442401214347. The reversal of 1442401214340 is 434121042441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1442401214298 and 1442401214307.

It is not an unprimeable number, because it can be changed into a prime (1442401214347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28401370 + ... + 28452110.

It is an arithmetic number, because the mean of its divisors is an integer number (42337704024).

Almost surely, 2^{1442401214340} is an apocalyptic number.

1442401214340 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 1442401214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032209793152).

1442401214340 is an abundant number, since it is smaller than the sum of its proper divisors (2622018371964).

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

1442401214340 is a wasteful number, since it uses less digits than its factorization.

1442401214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53757 (or 53755 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 1442401214340 its reverse (434121042441), we get a palindrome (1876522256781).

The spelling of 1442401214340 in words is "one trillion, four hundred forty-two billion, four hundred one million, two hundred fourteen thousand, three hundred forty".