409147991001 has 12 divisors (see below), whose sum is σ = 616686827328. Its totient is φ = 260905965144.

The previous prime is 409147990987. The next prime is 409147991003. The reversal of 409147991001 is 100199741904.

409147991001 is a `hidden beast` number, since 4 + 0 + 91 + 479 + 91 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 409147991001 - 2¹³ = 409147982809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (409147991003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 988279965 + ... + 988280378.

It is an arithmetic number, because the mean of its divisors is an integer number (51390568944).

Almost surely, 2^409147991001 is an apocalyptic number.

It is an amenable number.

409147991001 is a deficient number, since it is larger than the sum of its proper divisors (207538836327).

409147991001 is a wasteful number, since it uses less digits than its factorization.

409147991001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976560372 (or 1976560369 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 409147991001 in words is "four hundred nine billion, one hundred forty-seven million, nine hundred ninety-one thousand, one".