201440753920 has 144 divisors (see below), whose sum is σ = 564894949248. Its totient is φ = 67380756480.

The previous prime is 201440753867. The next prime is 201440753929. The reversal of 201440753920 is 29357044102.

It is a self number, because there is not a number n which added to its sum of digits gives 201440753920.

It is not an unprimeable number, because it can be changed into a prime (201440753929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93187 + ... + 641533.

It is an arithmetic number, because the mean of its divisors is an integer number (3922881592).

Almost surely, 2^201440753920 is an apocalyptic number.

201440753920 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 201440753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282447474624).

201440753920 is an abundant number, since it is smaller than the sum of its proper divisors (363454195328).

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

201440753920 is an equidigital number, since it uses as much as digits as its factorization.

201440753920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548416 (or 548402 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 201440753920 in words is "two hundred one billion, four hundred forty million, seven hundred fifty-three thousand, nine hundred twenty".