199443907998720 has 4224 divisors, whose sum is σ = 955163491752960. Its totient is φ = 38973540925440.

The previous prime is 199443907998659. The next prime is 199443907998787. The reversal of 199443907998720 is 27899709344991.

199443907998720 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 4 + 390 + 79 + 98 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 199443907998720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 161231937942 + ... + 161231939178.

Almost surely, 2^{199443907998720} is an apocalyptic number.

199443907998720 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 199443907998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477581745876480).

199443907998720 is an abundant number, since it is smaller than the sum of its proper divisors (755719583754240).

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

199443907998720 is a wasteful number, since it uses less digits than its factorization.

199443907998720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 199443907998720 in words is "one hundred ninety-nine trillion, four hundred forty-three billion, nine hundred seven million, nine hundred ninety-eight thousand, seven hundred twenty".