198820742400 has 1728 divisors, whose sum is σ = 902708889600. Its totient is φ = 41803776000.

The previous prime is 198820742377. The next prime is 198820742411. The reversal of 198820742400 is 4247028891.

198820742400 is a `hidden beast` number, since 19 + 8 + 8 + 207 + 424 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 942278295 + ... + 942278505.

Almost surely, 2^198820742400 is an apocalyptic number.

198820742400 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 198820742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451354444800).

198820742400 is an abundant number, since it is smaller than the sum of its proper divisors (703888147200).

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

198820742400 is a wasteful number, since it uses less digits than its factorization.

198820742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 198820742400 in words is "one hundred ninety-eight billion, eight hundred twenty million, seven hundred forty-two thousand, four hundred".