1034334142200 has 72 divisors (see below), whose sum is σ = 3473638833600. Its totient is φ = 275822437440.

The previous prime is 1034334142199. The next prime is 1034334142207. The reversal of 1034334142200 is 22414334301.

1034334142200 is a `hidden beast` number, since 1 + 0 + 3 + 43 + 3 + 414 + 2 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034334142207) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 287313240 + ... + 287316839.

It is an arithmetic number, because the mean of its divisors is an integer number (48244983800).

Almost surely, 2^{1034334142200} is an apocalyptic number.

1034334142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1034334142200 is an abundant number, since it is smaller than the sum of its proper divisors (2439304691400).

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

1034334142200 is a wasteful number, since it uses less digits than its factorization.

1034334142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574630101 (or 574630089 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1034334142200 its reverse (22414334301), we get a palindrome (1056748476501).

The spelling of 1034334142200 in words is "one trillion, thirty-four billion, three hundred thirty-four million, one hundred forty-two thousand, two hundred".