195233820426240 has 960 divisors, whose sum is σ = 680002090414080. Its totient is φ = 47648342016000.

The previous prime is 195233820426089. The next prime is 195233820426319. The reversal of 195233820426240 is 42624028332591.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 147792444780 + ... + 147792446100.

It is an arithmetic number, because the mean of its divisors is an integer number (708335510848).

Almost surely, 2^{195233820426240} is an apocalyptic number.

195233820426240 is a gapful number since it is divisible by the number (10) 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 195233820426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340001045207040).

195233820426240 is an abundant number, since it is smaller than the sum of its proper divisors (484768269987840).

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

195233820426240 is a wasteful number, since it uses less digits than its factorization.

195233820426240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 195233820426240 in words is "one hundred ninety-five trillion, two hundred thirty-three billion, eight hundred twenty million, four hundred twenty-six thousand, two hundred forty".