199426406400 has 1152 divisors, whose sum is σ = 804445387200. Its totient is φ = 48731258880.

The previous prime is 199426406381. The next prime is 199426406419. The reversal of 199426406400 is 4604624991.

199426406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (199426406381) and next prime (199426406419).

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1455667132 + ... + 1455667268.

Almost surely, 2^199426406400 is an apocalyptic number.

199426406400 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 199426406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402222693600).

199426406400 is an abundant number, since it is smaller than the sum of its proper divisors (605018980800).

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

199426406400 is an equidigital number, since it uses as much as digits as its factorization.

199426406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 199426406400 in words is "one hundred ninety-nine billion, four hundred twenty-six million, four hundred six thousand, four hundred".