199338053040 has 240 divisors, whose sum is σ = 766039809600. Its totient is φ = 45505732608.

The previous prime is 199338053027. The next prime is 199338053051. The reversal of 199338053040 is 40350833991.

199338053040 is a `hidden beast` number, since 1 + 9 + 9 + 33 + 80 + 530 + 4 + 0 = 666.

199338053040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4052916 + ... + 4101804.

It is an arithmetic number, because the mean of its divisors is an integer number (3191832540).

Almost surely, 2^199338053040 is an apocalyptic number.

199338053040 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 199338053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383019904800).

199338053040 is an abundant number, since it is smaller than the sum of its proper divisors (566701756560).

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

199338053040 is a wasteful number, since it uses less digits than its factorization.

199338053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49724 (or 49715 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 199338053040 in words is "one hundred ninety-nine billion, three hundred thirty-eight million, fifty-three thousand, forty".