42243120 has 240 divisors, whose sum is σ = 153552672. Its totient is φ = 10782720.

The previous prime is 42243109. The next prime is 42243143. The reversal of 42243120 is 2134224.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42243093 and 42243102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797014 + ... + 797066.

Almost surely, 2^42243120 is an apocalyptic number.

42243120 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 42243120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76776336).

42243120 is an abundant number, since it is smaller than the sum of its proper divisors (111309552).

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

42243120 is a wasteful number, since it uses less digits than its factorization.

42243120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 42243120 is about 6499.4707476840. The cubic root of 42243120 is about 348.2720821055.

Adding to 42243120 its reverse (2134224), we get a palindrome (44377344).

The spelling of 42243120 in words is "forty-two million, two hundred forty-three thousand, one hundred twenty".