42013141200 has 180 divisors, whose sum is σ = 146048167200. Its totient is φ = 11184226560.

The previous prime is 42013141169. The next prime is 42013141207. The reversal of 42013141200 is 214131024.

42013141200 is a `hidden beast` number, since 420 + 1 + 3 + 1 + 41 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×42013141200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42013141207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2146659 + ... + 2166141.

Almost surely, 2^42013141200 is an apocalyptic number.

42013141200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42013141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73024083600).

42013141200 is an abundant number, since it is smaller than the sum of its proper divisors (104035026000).

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

42013141200 is a wasteful number, since it uses less digits than its factorization.

42013141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20106 (or 20092 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 42013141200 its reverse (214131024), we get a palindrome (42227272224).

The spelling of 42013141200 in words is "forty-two billion, thirteen million, one hundred forty-one thousand, two hundred".