42014233201200 has 240 divisors, whose sum is σ = 149613763439616. Its totient is φ = 10008353203200.

The previous prime is 42014233201181. The next prime is 42014233201223. The reversal of 42014233201200 is 210233241024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 42955434 + ... + 43922633.

Almost surely, 2^{42014233201200} is an apocalyptic number.

42014233201200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42014233201200 is an abundant number, since it is smaller than the sum of its proper divisors (107599530238416).

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

42014233201200 is a wasteful number, since it uses less digits than its factorization.

42014233201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86878132 (or 86878121 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 42014233201200 its reverse (210233241024), we get a palindrome (42224466442224).

The spelling of 42014233201200 in words is "forty-two trillion, fourteen billion, two hundred thirty-three million, two hundred one thousand, two hundred".