804461131200 has 336 divisors, whose sum is σ = 2766581427456. Its totient is φ = 204421324800.

The previous prime is 804461131163. The next prime is 804461131219. The reversal of 804461131200 is 2131164408.

It is a super-2 number, since 2×804461131200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8414869 + ... + 8509931.

It is an arithmetic number, because the mean of its divisors is an integer number (8233873296).

Almost surely, 2^804461131200 is an apocalyptic number.

804461131200 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 804461131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383290713728).

804461131200 is an abundant number, since it is smaller than the sum of its proper divisors (1962120296256).

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

804461131200 is a wasteful number, since it uses less digits than its factorization.

804461131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95172 (or 95157 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

Adding to 804461131200 its reverse (2131164408), we get a palindrome (806592295608).

The spelling of 804461131200 in words is "eight hundred four billion, four hundred sixty-one million, one hundred thirty-one thousand, two hundred".