804332519424 has 1440 divisors, whose sum is σ = 3053360128000. Its totient is φ = 210691031040.

The previous prime is 804332519423. The next prime is 804332519479. The reversal of 804332519424 is 424915233408.

804332519424 is a `hidden beast` number, since 8 + 0 + 433 + 2 + 5 + 194 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 804332519424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804332519423) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25946210289 + ... + 25946210319.

Almost surely, 2^804332519424 is an apocalyptic number.

804332519424 is a gapful number since it is divisible by the number (84) 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 804332519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526680064000).

804332519424 is an abundant number, since it is smaller than the sum of its proper divisors (2249027608576).

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

804332519424 is an frugal number, since it uses more digits than its factorization.

804332519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 804332519424 in words is "eight hundred four billion, three hundred thirty-two million, five hundred nineteen thousand, four hundred twenty-four".