42142320142040 has 128 divisors (see below), whose sum is σ = 95295384748800. Its totient is φ = 16772727767040.

The previous prime is 42142320142033. The next prime is 42142320142073. The reversal of 42142320142040 is 4024102324124.

It is a happy number.

It is a super-3 number, since 3×42142320142040³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42142320141994 and 42142320142012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15777729905 + ... + 15777732575.

It is an arithmetic number, because the mean of its divisors is an integer number (744495193350).

Almost surely, 2^{42142320142040} is an apocalyptic number.

42142320142040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42142320142040 is an abundant number, since it is smaller than the sum of its proper divisors (53153064606760).

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

42142320142040 is a wasteful number, since it uses less digits than its factorization.

42142320142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5197 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 42142320142040 its reverse (4024102324124), we get a palindrome (46166422466164).

The spelling of 42142320142040 in words is "forty-two trillion, one hundred forty-two billion, three hundred twenty million, one hundred forty-two thousand, forty".