409433616901 has 8 divisors (see below), whose sum is σ = 412047238680. Its totient is φ = 406825402368.

The previous prime is 409433616847. The next prime is 409433616923. The reversal of 409433616901 is 109616334904.

It is a Cunningham number, because it is equal to 639870²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 160184052900 + 249249564001 = 400230^2 + 499249^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 409433616901 - 2¹⁷ = 409433485829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409433616941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1199836 + ... + 1502821.

It is an arithmetic number, because the mean of its divisors is an integer number (51505904835).

Almost surely, 2^409433616901 is an apocalyptic number.

It is an amenable number.

409433616901 is a deficient number, since it is larger than the sum of its proper divisors (2613621779).

409433616901 is a wasteful number, since it uses less digits than its factorization.

409433616901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703623.

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 409433616901 in words is "four hundred nine billion, four hundred thirty-three million, six hundred sixteen thousand, nine hundred one".