342217043064000 has 672 divisors, whose sum is σ = 1353964911202176. Its totient is φ = 81961329254400.

The previous prime is 342217043063993. The next prime is 342217043064007. The reversal of 342217043064000 is 460340712243.

342217043064000 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 1 + 7 + 0 + 4 + 3 + 0 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (342217043063993) and next prime (342217043064007).

It is a super-2 number, since 2×342217043064000² (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (342217043064007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29691237 + ... + 39572763.

It is an arithmetic number, because the mean of its divisors is an integer number (2014828736908).

Almost surely, 2^{342217043064000} is an apocalyptic number.

342217043064000 is a gapful number since it is divisible by the number (30) 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 342217043064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676982455601088).

342217043064000 is an abundant number, since it is smaller than the sum of its proper divisors (1011747868138176).

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

342217043064000 is a wasteful number, since it uses less digits than its factorization.

342217043064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9881610 (or 9881587 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 342217043064000 its reverse (460340712243), we get a palindrome (342677383776243).

The spelling of 342217043064000 in words is "three hundred forty-two trillion, two hundred seventeen billion, forty-three million, sixty-four thousand".