42114880 has 56 divisors (see below), whose sum is σ = 103025448. Its totient is φ = 16386048.

The previous prime is 42114869. The next prime is 42114881. The reversal of 42114880 is 8841124.

It can be written as a sum of positive squares in 4 ways, for example, as 4562496 + 37552384 = 2136^2 + 6128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42114881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10062 + ... + 13618.

Almost surely, 2^42114880 is an apocalyptic number.

42114880 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 42114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51512724).

42114880 is an abundant number, since it is smaller than the sum of its proper divisors (60910568).

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

42114880 is a wasteful number, since it uses less digits than its factorization.

42114880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3611 (or 3601 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 42114880 is about 6489.5978303744. The cubic root of 42114880 is about 347.9193013215.

The spelling of 42114880 in words is "forty-two million, one hundred fourteen thousand, eight hundred eighty".