42124025200 has 60 divisors (see below), whose sum is σ = 101467577088. Its totient is φ = 16805555200.

The previous prime is 42124025137. The next prime is 42124025239. The reversal of 42124025200 is 252042124.

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 11 ways as a sum of consecutive naturals, for example, 15720 + ... + 290680.

Almost surely, 2^42124025200 is an apocalyptic number.

42124025200 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 42124025200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50733788544).

42124025200 is an abundant number, since it is smaller than the sum of its proper divisors (59343551888).

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

42124025200 is a wasteful number, since it uses less digits than its factorization.

42124025200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275362 (or 275351 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

Adding to 42124025200 its reverse (252042124), we get a palindrome (42376067324).

The spelling of 42124025200 in words is "forty-two billion, one hundred twenty-four million, twenty-five thousand, two hundred".