199460400072 has 32 divisors (see below), whose sum is σ = 498669713280. Its totient is φ = 66484304960.

The previous prime is 199460400071. The next prime is 199460400101. The reversal of 199460400072 is 270004064991.

It is a junction number, because it is equal to n+sod(n) for n = 199460399997 and 199460400033.

It is not an unprimeable number, because it can be changed into a prime (199460400071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564922 + ... + 847382.

It is an arithmetic number, because the mean of its divisors is an integer number (15583428540).

Almost surely, 2^199460400072 is an apocalyptic number.

199460400072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199460400072 is an abundant number, since it is smaller than the sum of its proper divisors (299209313208).

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

199460400072 is a wasteful number, since it uses less digits than its factorization.

199460400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311893 (or 311889 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 199460400072 in words is "one hundred ninety-nine billion, four hundred sixty million, four hundred thousand, seventy-two".