199919040 has 224 divisors, whose sum is σ = 675924480. Its totient is φ = 49975296.

The previous prime is 199919039. The next prime is 199919051. The reversal of 199919040 is 40919991.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 199918983 and 199919001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1197037 + ... + 1197203.

It is an arithmetic number, because the mean of its divisors is an integer number (3017520).

Almost surely, 2^199919040 is an apocalyptic number.

199919040 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 199919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337962240).

199919040 is an abundant number, since it is smaller than the sum of its proper divisors (476005440).

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

199919040 is a wasteful number, since it uses less digits than its factorization.

199919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 42.

The square root of 199919040 is about 14139.2729657504. The cubic root of 199919040 is about 584.7246275006.

The spelling of 199919040 in words is "one hundred ninety-nine million, nine hundred nineteen thousand, forty".