42014880 has 144 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 11073024.

The previous prime is 42014879. The next prime is 42014887. The reversal of 42014880 is 8841024.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (42014887) 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, 234631 + ... + 234809.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^42014880 is an apocalyptic number.

42014880 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 42014880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

42014880 is an abundant number, since it is smaller than the sum of its proper divisors (103046400).

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

42014880 is a wasteful number, since it uses less digits than its factorization.

42014880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

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

The square root of 42014880 is about 6481.8886136681. Note that the first 3 decimals coincide. The cubic root of 42014880 is about 347.6437098612.

The spelling of 42014880 in words is "forty-two million, fourteen thousand, eight hundred eighty".