42242511040 has 56 divisors (see below), whose sum is σ = 100757809152. Its totient is φ = 16868812800.

The previous prime is 42242511001. The next prime is 42242511049. The reversal of 42242511040 is 4011524224.

It is a junction number, because it is equal to n+sod(n) for n = 42242510996 and 42242511014.

It is not an unprimeable number, because it can be changed into a prime (42242511049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82497 + ... + 302143.

It is an arithmetic number, because the mean of its divisors is an integer number (1799246592).

Almost surely, 2^42242511040 is an apocalyptic number.

42242511040 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 42242511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50378904576).

42242511040 is an abundant number, since it is smaller than the sum of its proper divisors (58515298112).

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

42242511040 is a wasteful number, since it uses less digits than its factorization.

42242511040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220265 (or 220255 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The spelling of 42242511040 in words is "forty-two billion, two hundred forty-two million, five hundred eleven thousand, forty".