42004334442 has 64 divisors (see below), whose sum is σ = 98425248768. Its totient is φ = 11699760000.

The previous prime is 42004334431. The next prime is 42004334447. The reversal of 42004334442 is 24443340024.

It is a super-2 number, since 2×42004334442² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42004334447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2490217 + ... + 2507027.

It is an arithmetic number, because the mean of its divisors is an integer number (1537894512).

Almost surely, 2^42004334442 is an apocalyptic number.

42004334442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42004334442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49212624384).

42004334442 is an abundant number, since it is smaller than the sum of its proper divisors (56420914326).

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

42004334442 is a wasteful number, since it uses less digits than its factorization.

42004334442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18315.

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 42004334442 its reverse (24443340024), we get a palindrome (66447674466).

The spelling of 42004334442 in words is "forty-two billion, four million, three hundred thirty-four thousand, four hundred forty-two".