409205900880 has 240 divisors, whose sum is σ = 1573128670464. Its totient is φ = 93380474880.

The previous prime is 409205900821. The next prime is 409205900921. The reversal of 409205900880 is 88009502904.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043885 + ... + 3175475.

Almost surely, 2^409205900880 is an apocalyptic number.

409205900880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409205900880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786564335232).

409205900880 is an abundant number, since it is smaller than the sum of its proper divisors (1163922769584).

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

409205900880 is a wasteful number, since it uses less digits than its factorization.

409205900880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132234 (or 132225 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 409205900880 in words is "four hundred nine billion, two hundred five million, nine hundred thousand, eight hundred eighty".