42220128 has 96 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 13118976.

The previous prime is 42220127. The next prime is 42220151. The reversal of 42220128 is 82102224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42220127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143950 + ... + 144242.

It is an arithmetic number, because the mean of its divisors is an integer number (1234800).

Almost surely, 2^42220128 is an apocalyptic number.

42220128 is a gapful number since it is divisible by the number (48) 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 42220128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

42220128 is an abundant number, since it is smaller than the sum of its proper divisors (76320672).

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

42220128 is a wasteful number, since it uses less digits than its factorization.

42220128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42220128 is about 6497.7017475412. The cubic root of 42220128 is about 348.2088850302.

The spelling of 42220128 in words is "forty-two million, two hundred twenty thousand, one hundred twenty-eight".