199806013440 has 832 divisors, whose sum is σ = 784700421120. Its totient is φ = 47828828160.

The previous prime is 199806013423. The next prime is 199806013447. The reversal of 199806013440 is 44310608991.

199806013440 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 0 + 601 + 34 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199806013447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 650833767 + ... + 650834073.

Almost surely, 2^199806013440 is an apocalyptic number.

199806013440 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 199806013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392350210560).

199806013440 is an abundant number, since it is smaller than the sum of its proper divisors (584894407680).

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

199806013440 is a wasteful number, since it uses less digits than its factorization.

199806013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 199806013440 in words is "one hundred ninety-nine billion, eight hundred six million, thirteen thousand, four hundred forty".