42240253120 has 112 divisors (see below), whose sum is σ = 108789276960. Its totient is φ = 15529107456.

The previous prime is 42240253109. The next prime is 42240253151. The reversal of 42240253120 is 2135204224.

42240253120 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 15 ways as a sum of consecutive naturals, for example, 947491 + ... + 991069.

It is an arithmetic number, because the mean of its divisors is an integer number (971332830).

Almost surely, 2^42240253120 is an apocalyptic number.

42240253120 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 42240253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54394638480).

42240253120 is an abundant number, since it is smaller than the sum of its proper divisors (66549023840).

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

42240253120 is a wasteful number, since it uses less digits than its factorization.

42240253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43842 (or 43832 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42240253120 its reverse (2135204224), we get a palindrome (44375457344).

The spelling of 42240253120 in words is "forty-two billion, two hundred forty million, two hundred fifty-three thousand, one hundred twenty".