408406436901 has 12 divisors (see below), whose sum is σ = 624621609612. Its totient is φ = 256255019136.

The previous prime is 408406436899. The next prime is 408406436903. The reversal of 408406436901 is 109634604804.

It is an interprime number because it is at equal distance from previous prime (408406436899) and next prime (408406436903).

It can be written as a sum of positive squares in 2 ways, for example, as 220007902500 + 188398534401 = 469050^2 + 434049^2 .

It is not a de Polignac number, because 408406436901 - 2¹ = 408406436899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408406436903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1334661406 + ... + 1334661711.

It is an arithmetic number, because the mean of its divisors is an integer number (52051800801).

Almost surely, 2^408406436901 is an apocalyptic number.

It is an amenable number.

408406436901 is a deficient number, since it is larger than the sum of its proper divisors (216215172711).

408406436901 is a wasteful number, since it uses less digits than its factorization.

408406436901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2669323140 (or 2669323137 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 408406436901 in words is "four hundred eight billion, four hundred six million, four hundred thirty-six thousand, nine hundred one".