201973240320 has 320 divisors, whose sum is σ = 653942716416. Its totient is φ = 53175582720.

The previous prime is 201973240319. The next prime is 201973240361. The reversal of 201973240320 is 23042379102.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230299722 + ... + 230300598.

Almost surely, 2^201973240320 is an apocalyptic number.

201973240320 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 201973240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326971358208).

201973240320 is an abundant number, since it is smaller than the sum of its proper divisors (451969476096).

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

201973240320 is a wasteful number, since it uses less digits than its factorization.

201973240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The spelling of 201973240320 in words is "two hundred one billion, nine hundred seventy-three million, two hundred forty thousand, three hundred twenty".