42063120 has 240 divisors, whose sum is σ = 158775552. Its totient is φ = 9891840.

The previous prime is 42063107. The next prime is 42063121. The reversal of 42063120 is 2136024.

It is a happy number.

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 = 42063093 and 42063102.

It is not an unprimeable number, because it can be changed into a prime (42063121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372184 + ... + 372296.

Almost surely, 2^42063120 is an apocalyptic number.

42063120 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 42063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79387776).

42063120 is an abundant number, since it is smaller than the sum of its proper divisors (116712432).

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

42063120 is a wasteful number, since it uses less digits than its factorization.

42063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 42063120 is about 6485.6086838476. The cubic root of 42063120 is about 347.7767097118.

Adding to 42063120 its reverse (2136024), we get a palindrome (44199144).

The spelling of 42063120 in words is "forty-two million, sixty-three thousand, one hundred twenty".