42033440442 has 64 divisors (see below), whose sum is σ = 97596002304. Its totient is φ = 11820297600.

The previous prime is 42033440399. The next prime is 42033440443. The reversal of 42033440442 is 24404433024.

It is a super-2 number, since 2×42033440442² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42033440443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1479067 + ... + 1507217.

It is an arithmetic number, because the mean of its divisors is an integer number (1524937536).

Almost surely, 2^42033440442 is an apocalyptic number.

42033440442 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 42033440442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48798001152).

42033440442 is an abundant number, since it is smaller than the sum of its proper divisors (55562561862).

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

42033440442 is a wasteful number, since it uses less digits than its factorization.

42033440442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28723.

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

Adding to 42033440442 its reverse (24404433024), we get a palindrome (66437873466).

The spelling of 42033440442 in words is "forty-two billion, thirty-three million, four hundred forty thousand, four hundred forty-two".