409788887904 has 216 divisors, whose sum is σ = 1322230867776. Its totient is φ = 120172377600.

The previous prime is 409788887863. The next prime is 409788887969.

409788887904 is a `hidden beast` number, since 409 + 78 + 8 + 88 + 79 + 0 + 4 = 666.

409788887904 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 890622 + ... + 1269954.

Almost surely, 2^409788887904 is an apocalyptic number.

409788887904 is a gapful number since it is divisible by the number (44) 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 409788887904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661115433888).

409788887904 is an abundant number, since it is smaller than the sum of its proper divisors (912441979872).

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

409788887904 is a wasteful number, since it uses less digits than its factorization.

409788887904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379402 (or 379380 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 409788887904 in words is "four hundred nine billion, seven hundred eighty-eight million, eight hundred eighty-seven thousand, nine hundred four".