42122880 has 192 divisors, whose sum is σ = 148936320. Its totient is φ = 10967040.

The previous prime is 42122851. The next prime is 42122903. The reversal of 42122880 is 8822124.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 408909 + ... + 409011.

It is an arithmetic number, because the mean of its divisors is an integer number (775710).

Almost surely, 2^42122880 is an apocalyptic number.

42122880 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 42122880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468160).

42122880 is an abundant number, since it is smaller than the sum of its proper divisors (106813440).

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

42122880 is a wasteful number, since it uses less digits than its factorization.

42122880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42122880 is about 6490.2141721210. The cubic root of 42122880 is about 347.9413297842.

The spelling of 42122880 in words is "forty-two million, one hundred twenty-two thousand, eight hundred eighty".