42123414200 has 192 divisors, whose sum is σ = 120045888000. Its totient is φ = 13423587840.

The previous prime is 42123414187. The next prime is 42123414241. The reversal of 42123414200 is 241432124.

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, 1394861 + ... + 1424739.

It is an arithmetic number, because the mean of its divisors is an integer number (625239000).

Almost surely, 2^42123414200 is an apocalyptic number.

42123414200 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 42123414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60022944000).

42123414200 is an abundant number, since it is smaller than the sum of its proper divisors (77922473800).

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

42123414200 is a wasteful number, since it uses less digits than its factorization.

42123414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29974 (or 29965 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 42123414200 its reverse (241432124), we get a palindrome (42364846324).

The spelling of 42123414200 in words is "forty-two billion, one hundred twenty-three million, four hundred fourteen thousand, two hundred".