42125280 has 192 divisors, whose sum is σ = 145152000. Its totient is φ = 10229760.

The previous prime is 42125267. The next prime is 42125287. The reversal of 42125280 is 8252124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42125280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42125287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282646 + ... + 282794.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^42125280 is an apocalyptic number.

42125280 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 42125280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

42125280 is an abundant number, since it is smaller than the sum of its proper divisors (103026720).

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

42125280 is a wasteful number, since it uses less digits than its factorization.

42125280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42125280 is about 6490.3990632318. The cubic root of 42125280 is about 347.9479377791.

The spelling of 42125280 in words is "forty-two million, one hundred twenty-five thousand, two hundred eighty".