34010442041200 has 60 divisors (see below), whose sum is σ = 81711052756128. Its totient is φ = 13604016025600.

The previous prime is 34010442041183. The next prime is 34010442041209. The reversal of 34010442041200 is 214024401043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34010442041209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36849360 + ... + 37761040.

Almost surely, 2^{34010442041200} is an apocalyptic number.

It is an amenable number.

34010442041200 is an abundant number, since it is smaller than the sum of its proper divisors (47700610714928).

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

34010442041200 is a wasteful number, since it uses less digits than its factorization.

34010442041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004962 (or 1004951 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 34010442041200 its reverse (214024401043), we get a palindrome (34224466442243).

The spelling of 34010442041200 in words is "thirty-four trillion, ten billion, four hundred forty-two million, forty-one thousand, two hundred".