17982194400 has 432 divisors, whose sum is σ = 66206793744. Its totient is φ = 4762644480.

The previous prime is 17982194369. The next prime is 17982194497. The reversal of 17982194400 is 449128971.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45295002 + ... + 45295398.

It is an arithmetic number, because the mean of its divisors is an integer number (153256467).

Almost surely, 2^17982194400 is an apocalyptic number.

17982194400 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 17982194400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33103396872).

17982194400 is an abundant number, since it is smaller than the sum of its proper divisors (48224599344).

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

17982194400 is a wasteful number, since it uses less digits than its factorization.

17982194400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 17982194400 in words is "seventeen billion, nine hundred eighty-two million, one hundred ninety-four thousand, four hundred".