199484375040 has 432 divisors, whose sum is σ = 714505349376. Its totient is φ = 51432652800.

The previous prime is 199484374997. The next prime is 199484375087. The reversal of 199484375040 is 40573484991.

199484375040 is a `hidden beast` number, since 1 + 9 + 94 + 8 + 43 + 7 + 504 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182844895 + ... + 182845985.

It is an arithmetic number, because the mean of its divisors is an integer number (1653947568).

Almost surely, 2^199484375040 is an apocalyptic number.

199484375040 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 199484375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357252674688).

199484375040 is an abundant number, since it is smaller than the sum of its proper divisors (515020974336).

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

199484375040 is an equidigital number, since it uses as much as digits as its factorization.

199484375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 199484375040 in words is "one hundred ninety-nine billion, four hundred eighty-four million, three hundred seventy-five thousand, forty".