42242022024224 has 96 divisors (see below), whose sum is σ = 92134475576640. Its totient is φ = 18904602496000.

The previous prime is 42242022024193. The next prime is 42242022024227.

42242022024224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (42242022024227) 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, 3044882 + ... + 9682734.

It is an arithmetic number, because the mean of its divisors is an integer number (959734120590).

Almost surely, 2^{42242022024224} is an apocalyptic number.

42242022024224 is a gapful number since it is divisible by the number (44) 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 42242022024224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46067237788320).

42242022024224 is an abundant number, since it is smaller than the sum of its proper divisors (49892453552416).

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

42242022024224 is a wasteful number, since it uses less digits than its factorization.

42242022024224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638154 (or 6638146 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4224202 and 2024224, that added together give a palindrome (6248426).

The spelling of 42242022024224 in words is "forty-two trillion, two hundred forty-two billion, twenty-two million, twenty-four thousand, two hundred twenty-four".