340133422200 has 288 divisors, whose sum is σ = 1245562064640. Its totient is φ = 76113523200.

The previous prime is 340133422199. The next prime is 340133422219. The reversal of 340133422200 is 2224331043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 962929 + ... + 1267871.

It is an arithmetic number, because the mean of its divisors is an integer number (4324868280).

Almost surely, 2^340133422200 is an apocalyptic number.

340133422200 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 340133422200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622781032320).

340133422200 is an abundant number, since it is smaller than the sum of its proper divisors (905428642440).

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

340133422200 is a wasteful number, since it uses less digits than its factorization.

340133422200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304999 (or 304977 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 340133422200 its reverse (2224331043), we get a palindrome (342357753243).

The spelling of 340133422200 in words is "three hundred forty billion, one hundred thirty-three million, four hundred twenty-two thousand, two hundred".