202042020400 has 120 divisors (see below), whose sum is σ = 529696865088. Its totient is φ = 73447200000.

The previous prime is 202042020379. The next prime is 202042020407. The reversal of 202042020400 is 4020240202.

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

It is not an unprimeable number, because it can be changed into a prime (202042020407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22219855 + ... + 22228945.

Almost surely, 2^202042020400 is an apocalyptic number.

202042020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202042020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264848432544).

202042020400 is an abundant number, since it is smaller than the sum of its proper divisors (327654844688).

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

202042020400 is a wasteful number, since it uses less digits than its factorization.

202042020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14171 (or 14160 counting only the distinct ones).

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

Adding to 202042020400 its reverse (4020240202), we get a palindrome (206062260602).

It can be divided in two parts, 20204 and 2020400, that multiplied together give a square (40820161600 = 202040²).

The spelling of 202042020400 in words is "two hundred two billion, forty-two million, twenty thousand, four hundred".