199469424400 has 135 divisors (see below), whose sum is σ = 485728638591. Its totient is φ = 78719454720.

The previous prime is 199469424379. The next prime is 199469424457. The reversal of 199469424400 is 4424964991.

The square root of 199469424400 is 446620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 581967376 + 198887457024 = 24124^2 + 445968^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1223738719 + ... + 1223738881.

Almost surely, 2^199469424400 is an apocalyptic number.

199469424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199469424400 is the 446620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199469424400

199469424400 is an abundant number, since it is smaller than the sum of its proper divisors (286259214191).

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

199469424400 is an equidigital number, since it uses as much as digits as its factorization.

199469424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 199469424400 in words is "one hundred ninety-nine billion, four hundred sixty-nine million, four hundred twenty-four thousand, four hundred".