42134241301200 has 120 divisors (see below), whose sum is σ = 149966688521600. Its totient is φ = 11235797677440.

The previous prime is 42134241301147. The next prime is 42134241301219. The reversal of 42134241301200 is 210314243124.

42134241301200 is a `hidden beast` number, since 4 + 2 + 1 + 3 + 42 + 413 + 0 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1950648520 + ... + 1950670119.

Almost surely, 2^{42134241301200} is an apocalyptic number.

42134241301200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42134241301200 is an abundant number, since it is smaller than the sum of its proper divisors (107832447220400).

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

42134241301200 is a wasteful number, since it uses less digits than its factorization.

42134241301200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901318666 (or 3901318649 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 42134241301200 its reverse (210314243124), we get a palindrome (42344555544324).

The spelling of 42134241301200 in words is "forty-two trillion, one hundred thirty-four billion, two hundred forty-one million, three hundred one thousand, two hundred".