198046940400 has 360 divisors, whose sum is σ = 704676560016. Its totient is φ = 51480576000.

The previous prime is 198046940359. The next prime is 198046940449. The reversal of 198046940400 is 4049640891.

It is a tau number, because it is divible by the number of its divisors (360).

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, 104179450 + ... + 104181350.

Almost surely, 2^198046940400 is an apocalyptic number.

198046940400 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 198046940400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352338280008).

198046940400 is an abundant number, since it is smaller than the sum of its proper divisors (506629619616).

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

198046940400 is a wasteful number, since it uses less digits than its factorization.

198046940400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2641 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 198046940400 in words is "one hundred ninety-eight billion, forty-six million, nine hundred forty thousand, four hundred".