202020442000 has 80 divisors (see below), whose sum is σ = 526061298672. Its totient is φ = 74592153600.

The previous prime is 202020441991. The next prime is 202020442073. The reversal of 202020442000 is 244020202.

202020442000 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 8 ways, for example, as 53049144976 + 148971297024 = 230324^2 + 385968^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3859009 + ... + 3911008.

Almost surely, 2^202020442000 is an apocalyptic number.

202020442000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202020442000 is an abundant number, since it is smaller than the sum of its proper divisors (324040856672).

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

202020442000 is a wasteful number, since it uses less digits than its factorization.

202020442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770053 (or 7770037 counting only the distinct ones).

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

Adding to 202020442000 its reverse (244020202), we get a palindrome (202264462202).

The spelling of 202020442000 in words is "two hundred two billion, twenty million, four hundred forty-two thousand".