409944222000 has 240 divisors, whose sum is σ = 1516023093312. Its totient is φ = 102887884800.

The previous prime is 409944221971. The next prime is 409944222007. The reversal of 409944222000 is 222449904.

409944222000 is a `hidden beast` number, since 4 + 0 + 9 + 9 + 442 + 2 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (409944222007) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 363844 + ... + 975843.

Almost surely, 2^409944222000 is an apocalyptic number.

409944222000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409944222000 is an abundant number, since it is smaller than the sum of its proper divisors (1106078871312).

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

409944222000 is a wasteful number, since it uses less digits than its factorization.

409944222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339733 (or 1339714 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 409944222000 in words is "four hundred nine billion, nine hundred forty-four million, two hundred twenty-two thousand".