34225054241200 has 240 divisors, whose sum is σ = 84200106535776. Its totient is φ = 13364007321600.

The previous prime is 34225054241171. The next prime is 34225054241201. The reversal of 34225054241200 is 214245052243.

It is not an unprimeable number, because it can be changed into a prime (34225054241201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7576941342 + ... + 7576945858.

Almost surely, 2^{34225054241200} 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 34225054241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42100053267888).

34225054241200 is an abundant number, since it is smaller than the sum of its proper divisors (49975052294576).

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

34225054241200 is a wasteful number, since it uses less digits than its factorization.

34225054241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 34225054241200 its reverse (214245052243), we get a palindrome (34439299293443).

The spelling of 34225054241200 in words is "thirty-four trillion, two hundred twenty-five billion, fifty-four million, two hundred forty-one thousand, two hundred".