195114978239040 has 1344 divisors, whose sum is σ = 750071459854080. Its totient is φ = 48097752514560.

The previous prime is 195114978239011. The next prime is 195114978239053. The reversal of 195114978239040 is 40932879411591.

195114978239040 is a `hidden beast` number, since 1 + 9 + 5 + 11 + 497 + 8 + 2 + 3 + 90 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 76847174091 + ... + 76847176629.

It is an arithmetic number, because the mean of its divisors is an integer number (558088883820).

Almost surely, 2^{195114978239040} is an apocalyptic number.

195114978239040 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 195114978239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375035729927040).

195114978239040 is an abundant number, since it is smaller than the sum of its proper divisors (554956481615040).

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

195114978239040 is a wasteful number, since it uses less digits than its factorization.

195114978239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3602 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 195114978239040 in words is "one hundred ninety-five trillion, one hundred fourteen billion, nine hundred seventy-eight million, two hundred thirty-nine thousand, forty".