199540414080 has 384 divisors, whose sum is σ = 790947331200. Its totient is φ = 45407969280.

The previous prime is 199540414079. The next prime is 199540414127. The reversal of 199540414080 is 80414045991.

It is a happy number.

199540414080 is a `hidden beast` number, since 1 + 99 + 540 + 4 + 14 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 9222475 + ... + 9244085.

It is an arithmetic number, because the mean of its divisors is an integer number (2059758675).

Almost surely, 2^199540414080 is an apocalyptic number.

199540414080 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 199540414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395473665600).

199540414080 is an abundant number, since it is smaller than the sum of its proper divisors (591406917120).

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

199540414080 is a wasteful number, since it uses less digits than its factorization.

199540414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21872 (or 21857 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 199540414080 in words is "one hundred ninety-nine billion, five hundred forty million, four hundred fourteen thousand, eighty".