195121120919040 has 960 divisors, whose sum is σ = 711131379678720. Its totient is φ = 49348117463040.

The previous prime is 195121120918987. The next prime is 195121120919083. The reversal of 195121120919040 is 40919021121591.

195121120919040 is a `hidden beast` number, since 1 + 9 + 5 + 1 + 211 + 209 + 190 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86991136159 + ... + 86991138401.

It is an arithmetic number, because the mean of its divisors is an integer number (740761853832).

Almost surely, 2^{195121120919040} is an apocalyptic number.

195121120919040 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 195121120919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355565689839360).

195121120919040 is an abundant number, since it is smaller than the sum of its proper divisors (516010258759680).

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

195121120919040 is a wasteful number, since it uses less digits than its factorization.

195121120919040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 195121120919040 in words is "one hundred ninety-five trillion, one hundred twenty-one billion, one hundred twenty million, nine hundred nineteen thousand, forty".