42020400000020 has 48 divisors (see below), whose sum is σ = 95299959903120. Its totient is φ = 15471272103936.

The previous prime is 42020400000013. The next prime is 42020400000037. The reversal of 42020400000020 is 2000000402024.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 29015034244 + 41991384965776 = 170338^2 + 6480076^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42020399999950 and 42020400000004.

It is a congruent number.

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, 228827375 + ... + 229010934.

It is an arithmetic number, because the mean of its divisors is an integer number (1985415831315).

Almost surely, 2^{42020400000020} is an apocalyptic number.

It is an amenable number.

42020400000020 is an abundant number, since it is smaller than the sum of its proper divisors (53279559903100).

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

42020400000020 is a wasteful number, since it uses less digits than its factorization.

42020400000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457838684 (or 457838682 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

Adding to 42020400000020 its reverse (2000000402024), we get a palindrome (44020400402044).

The spelling of 42020400000020 in words is "forty-two trillion, twenty billion, four hundred million, twenty", and thus it is an aban number.