409804691712 has 288 divisors, whose sum is σ = 1262266411392. Its totient is φ = 116901937152.

The previous prime is 409804691711. The next prime is 409804691717. The reversal of 409804691712 is 217196408904.

It is a super-2 number, since 2×409804691712² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (409804691711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11353758 + ... + 11389794.

It is an arithmetic number, because the mean of its divisors is an integer number (4382869484).

Almost surely, 2^409804691712 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 409804691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631133205696).

409804691712 is an abundant number, since it is smaller than the sum of its proper divisors (852461719680).

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

409804691712 is a wasteful number, since it uses less digits than its factorization.

409804691712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36153 (or 36139 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 409804691712 in words is "four hundred nine billion, eight hundred four million, six hundred ninety-one thousand, seven hundred twelve".