342005342241200 has 360 divisors, whose sum is σ = 921493711379280. Its totient is φ = 120971354112000.

The previous prime is 342005342241179. The next prime is 342005342241271. The reversal of 342005342241200 is 2142243500243.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2492518196 + ... + 2492655404.

Almost surely, 2^{342005342241200} 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 342005342241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460746855689640).

342005342241200 is an abundant number, since it is smaller than the sum of its proper divisors (579488369138080).

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

342005342241200 is a wasteful number, since it uses less digits than its factorization.

342005342241200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137657 (or 137605 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 342005342241200 its reverse (2142243500243), we get a palindrome (344147585741443).

The spelling of 342005342241200 in words is "three hundred forty-two trillion, five billion, three hundred forty-two million, two hundred forty-one thousand, two hundred".