1342310214456 has 256 divisors, whose sum is σ = 4164963840000. Its totient is φ = 398583732096.

The previous prime is 1342310214419. The next prime is 1342310214457. The reversal of 1342310214456 is 6544120132431.

1342310214456 is a `hidden beast` number, since 1 + 3 + 423 + 10 + 214 + 4 + 5 + 6 = 666.

It is a super-3 number, since 3×1342310214456³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1342310214456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342310214457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5448615 + ... + 5689641.

It is an arithmetic number, because the mean of its divisors is an integer number (16269390000).

Almost surely, 2^{1342310214456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342310214456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082481920000).

1342310214456 is an abundant number, since it is smaller than the sum of its proper divisors (2822653625544).

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

1342310214456 is a wasteful number, since it uses less digits than its factorization.

1342310214456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241143 (or 241133 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 1342310214456 its reverse (6544120132431), we get a palindrome (7886430346887).

The spelling of 1342310214456 in words is "one trillion, three hundred forty-two billion, three hundred ten million, two hundred fourteen thousand, four hundred fifty-six".