409878640400 has 60 divisors (see below), whose sum is σ = 1001423888400. Its totient is φ = 161172608640.

The previous prime is 409878640357. The next prime is 409878640433. The reversal of 409878640400 is 4046878904.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8660270 + ... + 8707469.

It is an arithmetic number, because the mean of its divisors is an integer number (16690398140).

Almost surely, 2^409878640400 is an apocalyptic number.

409878640400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409878640400 is an abundant number, since it is smaller than the sum of its proper divisors (591545248000).

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

409878640400 is a wasteful number, since it uses less digits than its factorization.

409878640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17367816 (or 17367805 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 50.

The spelling of 409878640400 in words is "four hundred nine billion, eight hundred seventy-eight million, six hundred forty thousand, four hundred".