198324815040 has 448 divisors, whose sum is σ = 803428416000. Its totient is φ = 45547868160.

The previous prime is 198324815009. The next prime is 198324815053. The reversal of 198324815040 is 40518423891.

198324815040 is a `hidden beast` number, since 1 + 9 + 83 + 2 + 481 + 50 + 40 = 666.

It is a super-3 number, since 3×198324815040³ (a number of 35 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1750846 + ... + 1860674.

It is an arithmetic number, because the mean of its divisors is an integer number (1793367000).

Almost surely, 2^198324815040 is an apocalyptic number.

198324815040 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 198324815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401714208000).

198324815040 is an abundant number, since it is smaller than the sum of its proper divisors (605103600960).

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

198324815040 is a wasteful number, since it uses less digits than its factorization.

198324815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109885 (or 109869 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 198324815040 in words is "one hundred ninety-eight billion, three hundred twenty-four million, eight hundred fifteen thousand, forty".