199693045440 has 448 divisors, whose sum is σ = 815071288320. Its totient is φ = 45643004928.

The previous prime is 199693045421. The next prime is 199693045471. The reversal of 199693045440 is 44540396991.

It is a happy number.

199693045440 is a `hidden beast` number, since 1 + 9 + 9 + 6 + 93 + 0 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4878499 + ... + 4919261.

Almost surely, 2^199693045440 is an apocalyptic number.

199693045440 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 199693045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407535644160).

199693045440 is an abundant number, since it is smaller than the sum of its proper divisors (615378242880).

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

199693045440 is an frugal number, since it uses more digits than its factorization.

199693045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40808 (or 40780 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 199693045440 in words is "one hundred ninety-nine billion, six hundred ninety-three million, forty-five thousand, four hundred forty".