42123400 has 96 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 14912000.

The previous prime is 42123379. The next prime is 42123401. The reversal of 42123400 is 432124.

It is not an unprimeable number, because it can be changed into a prime (42123401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89967 + ... + 90433.

It is an arithmetic number, because the mean of its divisors is an integer number (1142505).

Almost surely, 2^42123400 is an apocalyptic number.

42123400 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 42123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

42123400 is an abundant number, since it is smaller than the sum of its proper divisors (67557080).

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

42123400 is a wasteful number, since it uses less digits than its factorization.

42123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42123400 is about 6490.2542323086. The cubic root of 42123400 is about 347.9427615377.

Adding to 42123400 its reverse (432124), we get a palindrome (42555524).

The spelling of 42123400 in words is "forty-two million, one hundred twenty-three thousand, four hundred".