42438483120 has 320 divisors, whose sum is σ = 158572422144. Its totient is φ = 9261711360.

The previous prime is 42438483119. The next prime is 42438483133. The reversal of 42438483120 is 2138483424.

It is a happy number.

42438483120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011684 + ... + 1052796.

Almost surely, 2^42438483120 is an apocalyptic number.

42438483120 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 42438483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79286211072).

42438483120 is an abundant number, since it is smaller than the sum of its proper divisors (116133939024).

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

42438483120 is a wasteful number, since it uses less digits than its factorization.

42438483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41180 (or 41174 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 42438483120 in words is "forty-two billion, four hundred thirty-eight million, four hundred eighty-three thousand, one hundred twenty".