199940114304 has 288 divisors, whose sum is σ = 698386749840. Its totient is φ = 54641664000.

The previous prime is 199940114299. The next prime is 199940114333. The reversal of 199940114304 is 403411049991.

199940114304 is a `hidden beast` number, since 19 + 99 + 401 + 143 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 199940114304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1221304 + ... + 1375304.

Almost surely, 2^199940114304 is an apocalyptic number.

199940114304 is a gapful number since it is divisible by the number (14) 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 199940114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349193374920).

199940114304 is an abundant number, since it is smaller than the sum of its proper divisors (498446635536).

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

199940114304 is a wasteful number, since it uses less digits than its factorization.

199940114304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154058 (or 154036 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 199940114304 in words is "one hundred ninety-nine billion, nine hundred forty million, one hundred fourteen thousand, three hundred four".