409221941220 has 36 divisors (see below), whose sum is σ = 1241306555580. Its totient is φ = 109125850944.

The previous prime is 409221941207. The next prime is 409221941239. The reversal of 409221941220 is 22149122904.

409221941220 is a `hidden beast` number, since 4 + 0 + 9 + 2 + 219 + 412 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 283978146816 + 125243794404 = 532896^2 + 353898^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1136727435 + ... + 1136727794.

It is an arithmetic number, because the mean of its divisors is an integer number (34480737655).

Almost surely, 2^409221941220 is an apocalyptic number.

It is an amenable number.

409221941220 is an abundant number, since it is smaller than the sum of its proper divisors (832084614360).

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

409221941220 is a wasteful number, since it uses less digits than its factorization.

409221941220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273455244 (or 2273455239 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 409221941220 in words is "four hundred nine billion, two hundred twenty-one million, nine hundred forty-one thousand, two hundred twenty".