42722020032 has 112 divisors (see below), whose sum is σ = 114943737600. Its totient is φ = 14001361920.

The previous prime is 42722020031. The next prime is 42722020043. The reversal of 42722020032 is 23002022724.

It is a happy number.

It is a super-2 number, since 2×42722020032² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 42722019984 and 42722020011.

It is not an unprimeable number, because it can be changed into a prime (42722020031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5162394 + ... + 5170662.

Almost surely, 2^42722020032 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 42722020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57471868800).

42722020032 is an abundant number, since it is smaller than the sum of its proper divisors (72221717568).

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

42722020032 is a wasteful number, since it uses less digits than its factorization.

42722020032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8734 (or 8724 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

Adding to 42722020032 its reverse (23002022724), we get a palindrome (65724042756).

The spelling of 42722020032 in words is "forty-two billion, seven hundred twenty-two million, twenty thousand, thirty-two".