200309706240 has 320 divisors, whose sum is σ = 732883092480. Its totient is φ = 45720207360.

The previous prime is 200309706229. The next prime is 200309706251. The reversal of 200309706240 is 42607903002.

It is an interprime number because it is at equal distance from previous prime (200309706229) and next prime (200309706251).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45102420 + ... + 45106860.

It is an arithmetic number, because the mean of its divisors is an integer number (2290259664).

Almost surely, 2^200309706240 is an apocalyptic number.

200309706240 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 200309706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366441546240).

200309706240 is an abundant number, since it is smaller than the sum of its proper divisors (532573386240).

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

200309706240 is an equidigital number, since it uses as much as digits as its factorization.

200309706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5297 counting only the distinct ones).

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

The spelling of 200309706240 in words is "two hundred billion, three hundred nine million, seven hundred six thousand, two hundred forty".