42042020133040 has 80 divisors (see below), whose sum is σ = 100923203358720. Its totient is φ = 16270724724480.

The previous prime is 42042020133037. The next prime is 42042020133073. The reversal of 42042020133040 is 4033102024024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42042020132996 and 42042020133014.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9331437 + ... + 13082803.

It is an arithmetic number, because the mean of its divisors is an integer number (1261540041984).

Almost surely, 2^{42042020133040} is an apocalyptic number.

42042020133040 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 42042020133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50461601679360).

42042020133040 is an abundant number, since it is smaller than the sum of its proper divisors (58881183225680).

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

42042020133040 is a wasteful number, since it uses less digits than its factorization.

42042020133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3755930 (or 3755924 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 42042020133040 its reverse (4033102024024), we get a palindrome (46075122157064).

The spelling of 42042020133040 in words is "forty-two trillion, forty-two billion, twenty million, one hundred thirty-three thousand, forty".