804417640000 has 560 divisors, whose sum is σ = 2266757805312. Its totient is φ = 280912896000.

The previous prime is 804417639979. The next prime is 804417640003. The reversal of 804417640000 is 46714408.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (804417640003) 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 79 ways as a sum of consecutive naturals, for example, 1231879674 + ... + 1231880326.

Almost surely, 2^804417640000 is an apocalyptic number.

804417640000 is a gapful number since it is divisible by the number (80) 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 804417640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1133378902656).

804417640000 is an abundant number, since it is smaller than the sum of its proper divisors (1462340165312).

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

804417640000 is a wasteful number, since it uses less digits than its factorization.

804417640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The spelling of 804417640000 in words is "eight hundred four billion, four hundred seventeen million, six hundred forty thousand".