42202240020020 has 72 divisors (see below), whose sum is σ = 94147559117304. Its totient is φ = 15887399675904.

The previous prime is 42202240020007. The next prime is 42202240020041. The reversal of 42202240020020 is 2002004220224.

42202240020020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 24294074925604 + 17908165094416 = 4928902^2 + 4231804^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42202240019974 and 42202240020001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 218462594 + ... + 218655686.

Almost surely, 2^{42202240020020} is an apocalyptic number.

It is an amenable number.

42202240020020 is an abundant number, since it is smaller than the sum of its proper divisors (51945319097284).

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

42202240020020 is a wasteful number, since it uses less digits than its factorization.

42202240020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230949 (or 230930 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 42202240020020 its reverse (2002004220224), we get a palindrome (44204244240244).

The spelling of 42202240020020 in words is "forty-two trillion, two hundred two billion, two hundred forty million, twenty thousand, twenty".