342545431400000 has 336 divisors, whose sum is σ = 866716637334912. Its totient is φ = 134288271360000.

The previous prime is 342545431399961. The next prime is 342545431400027. The reversal of 342545431400000 is 4134545243.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1998114287 + ... + 1998285713.

It is an arithmetic number, because the mean of its divisors is an integer number (2579513801592).

Almost surely, 2^{342545431400000} 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 342545431400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433358318667456).

342545431400000 is an abundant number, since it is smaller than the sum of its proper divisors (524171205934912).

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

342545431400000 is an equidigital number, since it uses as much as digits as its factorization.

342545431400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171664 (or 171634 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 342545431400000 its reverse (4134545243), we get a palindrome (342549565945243).

The spelling of 342545431400000 in words is "three hundred forty-two trillion, five hundred forty-five billion, four hundred thirty-one million, four hundred thousand".