408440808400 has 60 divisors (see below), whose sum is σ = 990994774284. Its totient is φ = 161758720000.

The previous prime is 408440808397. The next prime is 408440808409. The reversal of 408440808400 is 4808044804.

It can be written as a sum of positive squares in 6 ways, for example, as 242487184 + 408198321216 = 15572^2 + 638904^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408440808409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5014561 + ... + 5095360.

Almost surely, 2^408440808400 is an apocalyptic number.

408440808400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

408440808400 is an abundant number, since it is smaller than the sum of its proper divisors (582553965884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

408440808400 is a wasteful number, since it uses less digits than its factorization.

408440808400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110040 (or 10110029 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 408440808400 in words is "four hundred eight billion, four hundred forty million, eight hundred eight thousand, four hundred".