42123931200 has 672 divisors, whose sum is σ = 167153051520. Its totient is φ = 10257408000.

The previous prime is 42123931183. The next prime is 42123931207. The reversal of 42123931200 is 213932124.

It is a happy number.

42123931200 is a `hidden beast` number, since 421 + 2 + 3 + 9 + 31 + 200 = 666.

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 (42123931207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60090850 + ... + 60091550.

It is an arithmetic number, because the mean of its divisors is an integer number (248739660).

Almost surely, 2^42123931200 is an apocalyptic number.

42123931200 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 42123931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83576525760).

42123931200 is an abundant number, since it is smaller than the sum of its proper divisors (125029120320).

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

42123931200 is a wasteful number, since it uses less digits than its factorization.

42123931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 42123931200 in words is "forty-two billion, one hundred twenty-three million, nine hundred thirty-one thousand, two hundred".