42000442002040 has 96 divisors (see below), whose sum is σ = 97025548569840. Its totient is φ = 16362761031680.

The previous prime is 42000442002011. The next prime is 42000442002059. The reversal of 42000442002040 is 4020024400024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39346647 + ... + 40399993.

Almost surely, 2^{42000442002040} is an apocalyptic number.

42000442002040 is a gapful number since it is divisible by the number (40) 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 42000442002040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48512774284920).

42000442002040 is an abundant number, since it is smaller than the sum of its proper divisors (55025106567800).

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

42000442002040 is a wasteful number, since it uses less digits than its factorization.

42000442002040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054033 (or 1053988 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 42000442002040 its reverse (4020024400024), we get a palindrome (46020466402064).

The spelling of 42000442002040 in words is "forty-two trillion, four hundred forty-two million, two thousand, forty".