42138527200 has 288 divisors, whose sum is σ = 128781757440. Its totient is φ = 13080115200.

The previous prime is 42138527183. The next prime is 42138527213. The reversal of 42138527200 is 272583124.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16569129 + ... + 16571671.

It is an arithmetic number, because the mean of its divisors is an integer number (447158880).

Almost surely, 2^42138527200 is an apocalyptic number.

42138527200 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 42138527200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64390878720).

42138527200 is an abundant number, since it is smaller than the sum of its proper divisors (86643230240).

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

42138527200 is a wasteful number, since it uses less digits than its factorization.

42138527200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The spelling of 42138527200 in words is "forty-two billion, one hundred thirty-eight million, five hundred twenty-seven thousand, two hundred".