2041800067440 has 800 divisors, whose sum is σ = 8595289866240. Its totient is φ = 438527582208.

The previous prime is 2041800067427. The next prime is 2041800067453. The reversal of 2041800067440 is 447600081402.

2041800067440 is a `hidden beast` number, since 204 + 1 + 8 + 0 + 0 + 0 + 6 + 7 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (2041800067427) and next prime (2041800067453).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2041800067395 and 2041800067404.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 569855889 + ... + 569859471.

Almost surely, 2^{2041800067440} is an apocalyptic number.

2041800067440 is a gapful number since it is divisible by the number (20) 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 2041800067440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4297644933120).

2041800067440 is an abundant number, since it is smaller than the sum of its proper divisors (6553489798800).

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

2041800067440 is a wasteful number, since it uses less digits than its factorization.

2041800067440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4371 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 2041800067440 in words is "two trillion, forty-one billion, eight hundred million, sixty-seven thousand, four hundred forty".