198339071040 has 224 divisors, whose sum is σ = 763305275520. Its totient is φ = 48082176000.

The previous prime is 198339071017. The next prime is 198339071057. The reversal of 198339071040 is 40170933891.

198339071040 is a `hidden beast` number, since 198 + 3 + 390 + 71 + 0 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948411 + ... + 1138490.

Almost surely, 2^198339071040 is an apocalyptic number.

198339071040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198339071040 is an abundant number, since it is smaller than the sum of its proper divisors (564966204480).

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

198339071040 is a wasteful number, since it uses less digits than its factorization.

198339071040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2086938 (or 2086922 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 198339071040 in words is "one hundred ninety-eight billion, three hundred thirty-nine million, seventy-one thousand, forty".