42337120 has 96 divisors (see below), whose sum is σ = 115734528. Its totient is φ = 14335488.

The previous prime is 42337081. The next prime is 42337147. The reversal of 42337120 is 2173324.

It is a junction number, because it is equal to n+sod(n) for n = 42337091 and 42337100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115177 + ... + 115543.

It is an arithmetic number, because the mean of its divisors is an integer number (1205568).

Almost surely, 2^42337120 is an apocalyptic number.

42337120 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 42337120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57867264).

42337120 is an abundant number, since it is smaller than the sum of its proper divisors (73397408).

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

42337120 is a wasteful number, since it uses less digits than its factorization.

42337120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 42337120 is about 6506.6980873558. The cubic root of 42337120 is about 348.5302174183.

The spelling of 42337120 in words is "forty-two million, three hundred thirty-seven thousand, one hundred twenty".