409344407721 has 48 divisors (see below), whose sum is σ = 604528629120. Its totient is φ = 266837276160.

The previous prime is 409344407677. The next prime is 409344407729. The reversal of 409344407721 is 127704443904.

It is not a de Polignac number, because 409344407721 - 2¹⁰ = 409344406697 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409344407729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66416586 + ... + 66422748.

It is an arithmetic number, because the mean of its divisors is an integer number (12594346440).

Almost surely, 2^409344407721 is an apocalyptic number.

It is an amenable number.

409344407721 is a deficient number, since it is larger than the sum of its proper divisors (195184221399).

409344407721 is a wasteful number, since it uses less digits than its factorization.

409344407721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6926 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 409344407721 in words is "four hundred nine billion, three hundred forty-four million, four hundred seven thousand, seven hundred twenty-one".