42000220400020 has 24 divisors (see below), whose sum is σ = 88373744713800. Its totient is φ = 16767082088832.

The previous prime is 42000220400003. The next prime is 42000220400063. The reversal of 42000220400020 is 2000402200024.

It can be written as a sum of positive squares in 4 ways, for example, as 566126827396 + 41434093572624 = 752414^2 + 6436932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42000220399967 and 42000220400003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2062869015 + ... + 2062889374.

It is an arithmetic number, because the mean of its divisors is an integer number (3682239363075).

Almost surely, 2^{42000220400020} is an apocalyptic number.

It is an amenable number.

42000220400020 is an abundant number, since it is smaller than the sum of its proper divisors (46373524313780).

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

42000220400020 is a wasteful number, since it uses less digits than its factorization.

42000220400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125758907 (or 4125758905 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 42000220400020 its reverse (2000402200024), we get a palindrome (44000622600044).

The spelling of 42000220400020 in words is "forty-two trillion, two hundred twenty million, four hundred thousand, twenty".