1918041820800 has 768 divisors, whose sum is σ = 7543437189120. Its totient is φ = 419117875200.

The previous prime is 1918041820753. The next prime is 1918041820813. The reversal of 1918041820800 is 80281408191.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 172900054 + ... + 172911146.

It is an arithmetic number, because the mean of its divisors is an integer number (9822183840).

Almost surely, 2^{1918041820800} is an apocalyptic number.

1918041820800 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 1918041820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771718594560).

1918041820800 is an abundant number, since it is smaller than the sum of its proper divisors (5625395368320).

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

1918041820800 is a wasteful number, since it uses less digits than its factorization.

1918041820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11241 (or 11224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 42.

The spelling of 1918041820800 in words is "one trillion, nine hundred eighteen billion, forty-one million, eight hundred twenty thousand, eight hundred".