42141013200 has 720 divisors, whose sum is σ = 173614721280. Its totient is φ = 9331200000.

The previous prime is 42141013181. The next prime is 42141013217. The reversal of 42141013200 is 231014124.

42141013200 is a `hidden beast` number, since 42 + 1 + 410 + 13 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 143 ways as a sum of consecutive naturals, for example, 56112825 + ... + 56113575.

Almost surely, 2^42141013200 is an apocalyptic number.

42141013200 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 42141013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86807360640).

42141013200 is an abundant number, since it is smaller than the sum of its proper divisors (131473708080).

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

42141013200 is a wasteful number, since it uses less digits than its factorization.

42141013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 894 counting only the distinct ones).

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

Adding to 42141013200 its reverse (231014124), we get a palindrome (42372027324).

The spelling of 42141013200 in words is "forty-two billion, one hundred forty-one million, thirteen thousand, two hundred".