199702440000 has 630 divisors, whose sum is σ = 832139453574. Its totient is φ = 45642240000.

The previous prime is 199702439987. The next prime is 199702440031. The reversal of 199702440000 is 44207991.

It can be written as a sum of positive squares in 5 ways, for example, as 128169728064 + 71532711936 = 358008^2 + 267456^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17634340 + ... + 17645660.

Almost surely, 2^199702440000 is an apocalyptic number.

199702440000 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 199702440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416069726787).

199702440000 is an abundant number, since it is smaller than the sum of its proper divisors (632437013574).

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

199702440000 is a wasteful number, since it uses less digits than its factorization.

199702440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11373 (or 11338 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 199702440000 its reverse (44207991), we get a palindrome (199746647991).

The spelling of 199702440000 in words is "one hundred ninety-nine billion, seven hundred two million, four hundred forty thousand".