804851942400 has 1056 divisors, whose sum is σ = 3312638156160. Its totient is φ = 189775872000.

The previous prime is 804851942371. The next prime is 804851942407. The reversal of 804851942400 is 4249158408.

804851942400 is a `hidden beast` number, since 80 + 4 + 85 + 1 + 94 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (804851942407) 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, 281316970 + ... + 281319830.

Almost surely, 2^804851942400 is an apocalyptic number.

804851942400 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 804851942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1656319078080).

804851942400 is an abundant number, since it is smaller than the sum of its proper divisors (2507786213760).

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

804851942400 is a wasteful number, since it uses less digits than its factorization.

804851942400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2948 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 804851942400 in words is "eight hundred four billion, eight hundred fifty-one million, nine hundred forty-two thousand, four hundred".