1804217846400 has 672 divisors, whose sum is σ = 6720907868220. Its totient is φ = 478354636800.

The previous prime is 1804217846383. The next prime is 1804217846411. The reversal of 1804217846400 is 46487124081.

1804217846400 is a `hidden beast` number, since 1 + 80 + 42 + 1 + 78 + 464 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 60740559936 + 1743477286464 = 246456^2 + 1320408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 422234664 + ... + 422238936.

Almost surely, 2^{1804217846400} is an apocalyptic number.

1804217846400 is a gapful number since it is divisible by the number (10) 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 1804217846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360453934110).

1804217846400 is an abundant number, since it is smaller than the sum of its proper divisors (4916690021820).

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

1804217846400 is an equidigital number, since it uses as much as digits as its factorization.

1804217846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4464 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1804217846400 in words is "one trillion, eight hundred four billion, two hundred seventeen million, eight hundred forty-six thousand, four hundred".