202320040000 has 315 divisors, whose sum is σ = 546406205763. Its totient is φ = 74270976000.

The previous prime is 202320039959. The next prime is 202320040003. The reversal of 202320040000 is 40023202.

The square root of 202320040000 is 449800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 194777464896 + 7542575104 = 441336^2 + 86848^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202320040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1169479914 + ... + 1169480086.

Almost surely, 2^202320040000 is an apocalyptic number.

202320040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

202320040000 is the 449800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202320040000

202320040000 is an abundant number, since it is smaller than the sum of its proper divisors (344086165763).

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

202320040000 is an frugal number, since it uses more digits than its factorization.

202320040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

Adding to 202320040000 its reverse (40023202), we get a palindrome (202360063202).

The spelling of 202320040000 in words is "two hundred two billion, three hundred twenty million, forty thousand".