42052224032 has 144 divisors (see below), whose sum is σ = 102711030912. Its totient is φ = 16594606080.

The previous prime is 42052224013. The next prime is 42052224073. The reversal of 42052224032 is 23042225024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 42052223992 and 42052224010.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18434732 + ... + 18437012.

It is an arithmetic number, because the mean of its divisors is an integer number (713271048).

Almost surely, 2^42052224032 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 42052224032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51355515456).

42052224032 is an abundant number, since it is smaller than the sum of its proper divisors (60658806880).

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

42052224032 is a wasteful number, since it uses less digits than its factorization.

42052224032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2811 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 42052224032 its reverse (23042225024), we get a palindrome (65094449056).

The spelling of 42052224032 in words is "forty-two billion, fifty-two million, two hundred twenty-four thousand, thirty-two".