804116939472 has 960 divisors, whose sum is σ = 3104944128000. Its totient is φ = 188042342400.

The previous prime is 804116939453. The next prime is 804116939473. The reversal of 804116939472 is 274939611408.

804116939472 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 169 + 3 + 9 + 472 = 666.

It is a super-2 number, since 2×804116939472² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804116939473) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 292511154 + ... + 292513902.

It is an arithmetic number, because the mean of its divisors is an integer number (3234316800).

Almost surely, 2^804116939472 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 804116939472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552472064000).

804116939472 is an abundant number, since it is smaller than the sum of its proper divisors (2300827188528).

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

804116939472 is a wasteful number, since it uses less digits than its factorization.

804116939472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872 (or 2863 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 804116939472 in words is "eight hundred four billion, one hundred sixteen million, nine hundred thirty-nine thousand, four hundred seventy-two".