804414417136 has 80 divisors (see below), whose sum is σ = 1733466238560. Its totient is φ = 358506536960.

The previous prime is 804414417127. The next prime is 804414417151. The reversal of 804414417136 is 631714414408.

It is a super-2 number, since 2×804414417136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 804414417092 and 804414417101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14458620 + ... + 14514148.

It is an arithmetic number, because the mean of its divisors is an integer number (21668327982).

Almost surely, 2^804414417136 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 804414417136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866733119280).

804414417136 is an abundant number, since it is smaller than the sum of its proper divisors (929051821424).

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

804414417136 is a wasteful number, since it uses less digits than its factorization.

804414417136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57154 (or 57148 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 804414417136 in words is "eight hundred four billion, four hundred fourteen million, four hundred seventeen thousand, one hundred thirty-six".