1803804458400 has 864 divisors, whose sum is σ = 7626039902208. Its totient is φ = 392259225600.

The previous prime is 1803804458363. The next prime is 1803804458419. The reversal of 1803804458400 is 48544083081.

1803804458400 is a `hidden beast` number, since 1 + 80 + 3 + 80 + 4 + 458 + 40 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 221403127 + ... + 221411273.

It is an arithmetic number, because the mean of its divisors is an integer number (8826435072).

Almost surely, 2^{1803804458400} is an apocalyptic number.

1803804458400 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 1803804458400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3813019951104).

1803804458400 is an abundant number, since it is smaller than the sum of its proper divisors (5822235443808).

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

1803804458400 is a wasteful number, since it uses less digits than its factorization.

1803804458400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8394 (or 8378 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1803804458400 in words is "one trillion, eight hundred three billion, eight hundred four million, four hundred fifty-eight thousand, four hundred".