199581913440 has 1920 divisors, whose sum is σ = 920602755072. Its totient is φ = 39594147840.

The previous prime is 199581913429. The next prime is 199581913459. The reversal of 199581913440 is 44319185991.

It is a happy number.

199581913440 is a `hidden beast` number, since 1 + 9 + 9 + 5 + 8 + 191 + 3 + 440 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1937688429 + ... + 1937688531.

Almost surely, 2^199581913440 is an apocalyptic number.

199581913440 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 199581913440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460301377536).

199581913440 is an abundant number, since it is smaller than the sum of its proper divisors (721020841632).

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

199581913440 is a wasteful number, since it uses less digits than its factorization.

199581913440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 199581913440 in words is "one hundred ninety-nine billion, five hundred eighty-one million, nine hundred thirteen thousand, four hundred forty".