42020400224 has 48 divisors (see below), whose sum is σ = 90653230080. Its totient is φ = 19014495360.

The previous prime is 42020400223. The next prime is 42020400239. The reversal of 42020400224 is 42200402024.

It is a junction number, because it is equal to n+sod(n) for n = 42020400196 and 42020400205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42020400223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189164 + ... + 346155.

It is an arithmetic number, because the mean of its divisors is an integer number (1888608960).

Almost surely, 2^42020400224 is an apocalyptic number.

42020400224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42020400224 is an abundant number, since it is smaller than the sum of its proper divisors (48632829856).

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

42020400224 is a wasteful number, since it uses less digits than its factorization.

42020400224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535563 (or 535555 counting only the distinct ones).

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

Adding to 42020400224 its reverse (42200402024), we get a palindrome (84220802248).

It can be divided in two parts, 42020 and 400224, that added together give a palindrome (442244).

The spelling of 42020400224 in words is "forty-two billion, twenty million, four hundred thousand, two hundred twenty-four".