42242200032 has 96 divisors (see below), whose sum is σ = 117454966272. Its totient is φ = 13247207424.

The previous prime is 42242200031. The next prime is 42242200037. The reversal of 42242200032 is 23000224224.

42242200032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 42242199981 and 42242200008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242200031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7352553 + ... + 7358295.

It is an arithmetic number, because the mean of its divisors is an integer number (1223489232).

Almost surely, 2^42242200032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42242200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58727483136).

42242200032 is an abundant number, since it is smaller than the sum of its proper divisors (75212766240).

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

42242200032 is a wasteful number, since it uses less digits than its factorization.

42242200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10272 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

Adding to 42242200032 its reverse (23000224224), we get a palindrome (65242424256).

The spelling of 42242200032 in words is "forty-two billion, two hundred forty-two million, two hundred thousand, thirty-two".