42324285120 has 336 divisors, whose sum is σ = 149577734880. Its totient is φ = 10079354880.

The previous prime is 42324285097. The next prime is 42324285137. The reversal of 42324285120 is 2158242324.

42324285120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42324285120² (a number of 22 digits) contains 22 as substring.

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, 11991516 + ... + 11995044.

It is an arithmetic number, because the mean of its divisors is an integer number (445171830).

Almost surely, 2^42324285120 is an apocalyptic number.

42324285120 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 42324285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74788867440).

42324285120 is an abundant number, since it is smaller than the sum of its proper divisors (107253449760).

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

42324285120 is a wasteful number, since it uses less digits than its factorization.

42324285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 42324285120 in words is "forty-two billion, three hundred twenty-four million, two hundred eighty-five thousand, one hundred twenty".