42081811200 has 1296 divisors, whose sum is σ = 183674494080. Its totient is φ = 9345024000.

The previous prime is 42081811151. The next prime is 42081811201. The reversal of 42081811200 is 211818024.

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

It is not an unprimeable number, because it can be changed into a prime (42081811201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321235135 + ... + 321235265.

Almost surely, 2^42081811200 is an apocalyptic number.

42081811200 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 42081811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91837247040).

42081811200 is an abundant number, since it is smaller than the sum of its proper divisors (141592682880).

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

42081811200 is a wasteful number, since it uses less digits than its factorization.

42081811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The spelling of 42081811200 in words is "forty-two billion, eighty-one million, eight hundred eleven thousand, two hundred".