342403313110000 has 400 divisors, whose sum is σ = 887198823498240. Its totient is φ = 127682755200000.

The previous prime is 342403313109911. The next prime is 342403313110051. The reversal of 342403313110000 is 11313304243.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1840596991 + ... + 1840783009.

Almost surely, 2^{342403313110000} 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 342403313110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443599411749120).

342403313110000 is an abundant number, since it is smaller than the sum of its proper divisors (544795510388240).

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

342403313110000 is a wasteful number, since it uses less digits than its factorization.

342403313110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186274 (or 186253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 342403313110000 its reverse (11313304243), we get a palindrome (342414626414243).

The spelling of 342403313110000 in words is "three hundred forty-two trillion, four hundred three billion, three hundred thirteen million, one hundred ten thousand".