42345120 has 96 divisors (see below), whose sum is σ = 136297728. Its totient is φ = 11045888.

The previous prime is 42345097. The next prime is 42345157. The reversal of 42345120 is 2154324.

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

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, 21622 + ... + 23498.

It is an arithmetic number, because the mean of its divisors is an integer number (1419768).

Almost surely, 2^42345120 is an apocalyptic number.

42345120 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 42345120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68148864).

42345120 is an abundant number, since it is smaller than the sum of its proper divisors (93952608).

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

42345120 is a wasteful number, since it uses less digits than its factorization.

42345120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 42345120 is about 6507.3128094475. The cubic root of 42345120 is about 348.5521687315.

Adding to 42345120 its reverse (2154324), we get a palindrome (44499444).

The spelling of 42345120 in words is "forty-two million, three hundred forty-five thousand, one hundred twenty".