42042333444020 has 288 divisors, whose sum is σ = 112512198476160. Its totient is φ = 13076245324800.

The previous prime is 42042333444017. The next prime is 42042333444161. The reversal of 42042333444020 is 2044433324024.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3417791870 + ... + 3417804170.

It is an arithmetic number, because the mean of its divisors is an integer number (390667355820).

Almost surely, 2^{42042333444020} 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 42042333444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56256099238080).

42042333444020 is an abundant number, since it is smaller than the sum of its proper divisors (70469865032140).

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

42042333444020 is a wasteful number, since it uses less digits than its factorization.

42042333444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16943 (or 16934 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 35.

Adding to 42042333444020 its reverse (2044433324024), we get a palindrome (44086766768044).

The spelling of 42042333444020 in words is "forty-two trillion, forty-two billion, three hundred thirty-three million, four hundred forty-four thousand, twenty".