195946045440 has 896 divisors, whose sum is σ = 713407564800. Its totient is φ = 45675970560.

The previous prime is 195946045429. The next prime is 195946045453. The reversal of 195946045440 is 44540649591.

It is a happy number.

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, 2201640916 + ... + 2201641004.

It is an arithmetic number, because the mean of its divisors is an integer number (796213800).

Almost surely, 2^195946045440 is an apocalyptic number.

195946045440 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 195946045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356703782400).

195946045440 is an abundant number, since it is smaller than the sum of its proper divisors (517461519360).

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

195946045440 is a wasteful number, since it uses less digits than its factorization.

195946045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 195946045440 in words is "one hundred ninety-five billion, nine hundred forty-six million, forty-five thousand, four hundred forty".