409469667504 has 160 divisors (see below), whose sum is σ = 1091180160000. Its totient is φ = 132256369920.

The previous prime is 409469667491. The next prime is 409469667511. The reversal of 409469667504 is 405766964904.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 117291199 + ... + 117294689.

It is an arithmetic number, because the mean of its divisors is an integer number (6819876000).

Almost surely, 2^409469667504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409469667504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545590080000).

409469667504 is an abundant number, since it is smaller than the sum of its proper divisors (681710492496).

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

409469667504 is a wasteful number, since it uses less digits than its factorization.

409469667504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4137 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 409469667504 in words is "four hundred nine billion, four hundred sixty-nine million, six hundred sixty-seven thousand, five hundred four".