199419494400 has 1368 divisors, whose sum is σ = 889358523840. Its totient is φ = 43599790080.

The previous prime is 199419494399. The next prime is 199419494411. The reversal of 199419494400 is 4494914991.

199419494400 is a `hidden beast` number, since 1 + 9 + 9 + 4 + 194 + 9 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8670412789 + ... + 8670412811.

It is an arithmetic number, because the mean of its divisors is an integer number (650115880).

Almost surely, 2^199419494400 is an apocalyptic number.

199419494400 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 199419494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444679261920).

199419494400 is an abundant number, since it is smaller than the sum of its proper divisors (689939029440).

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

199419494400 is an frugal number, since it uses more digits than its factorization.

199419494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 199419494400 in words is "one hundred ninety-nine billion, four hundred nineteen million, four hundred ninety-four thousand, four hundred".