410242400009 has 8 divisors (see below), whose sum is σ = 441919061640. Its totient is φ = 378582817536.

The previous prime is 410242399981. The next prime is 410242400023. The reversal of 410242400009 is 900004242014.

It can be written as a sum of positive squares in 4 ways, for example, as 3887148409 + 406355251600 = 62347^2 + 637460^2 .

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 410242400009 - 2²⁰ = 410241351433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (410242400039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4219874 + ... + 4315995.

It is an arithmetic number, because the mean of its divisors is an integer number (55239882705).

Almost surely, 2^410242400009 is an apocalyptic number.

It is an amenable number.

410242400009 is a deficient number, since it is larger than the sum of its proper divisors (31676661631).

410242400009 is a wasteful number, since it uses less digits than its factorization.

410242400009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8539579.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 410242400009 in words is "four hundred ten billion, two hundred forty-two million, four hundred thousand, nine".