198042800400 has 135 divisors (see below), whose sum is σ = 687356202351. Its totient is φ = 52804293120.

The previous prime is 198042800363. The next prime is 198042800401. The reversal of 198042800400 is 4008240891.

The square root of 198042800400 is 445020.

It is a perfect power (a square), and thus also a powerful number.

198042800400 is a `hidden beast` number, since 198 + 0 + 428 + 0 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7709542416 + 190333257984 = 87804^2 + 436272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (198042800401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26697492 + ... + 26704908.

Almost surely, 2^198042800400 is an apocalyptic number.

198042800400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198042800400 is the 445020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198042800400

198042800400 is an abundant number, since it is smaller than the sum of its proper divisors (489313401951).

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

198042800400 is an frugal number, since it uses more digits than its factorization.

198042800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14858 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 198042800400 by its sum of digits (36), we get a square (7129540814400 = 2670120²).

198042800400 divided by its sum of digits (36) gives a square (5501188900 = 74170²).

The spelling of 198042800400 in words is "one hundred ninety-eight billion, forty-two million, eight hundred thousand, four hundred".