199280241280 has 128 divisors (see below), whose sum is σ = 493368744960. Its totient is φ = 76890316800.

The previous prime is 199280241271. The next prime is 199280241301. The reversal of 199280241280 is 82142082991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×199280241280² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 199280241280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6154092 + ... + 6186388.

It is an arithmetic number, because the mean of its divisors is an integer number (3854443320).

Almost surely, 2^199280241280 is an apocalyptic number.

199280241280 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 199280241280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246684372480).

199280241280 is an abundant number, since it is smaller than the sum of its proper divisors (294088503680).

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

199280241280 is a wasteful number, since it uses less digits than its factorization.

199280241280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32658 (or 32646 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

The spelling of 199280241280 in words is "one hundred ninety-nine billion, two hundred eighty million, two hundred forty-one thousand, two hundred eighty".