1821949459200 has 3456 divisors, whose sum is σ = 8379863654400. Its totient is φ = 386983526400.

The previous prime is 1821949459163. The next prime is 1821949459207. The reversal of 1821949459200 is 29549491281.

1821949459200 is a `hidden beast` number, since 1 + 8 + 2 + 1 + 9 + 49 + 4 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1821949459207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 58772563185 + ... + 58772563215.

Almost surely, 2^{1821949459200} is an apocalyptic number.

1821949459200 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 1821949459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189931827200).

1821949459200 is an abundant number, since it is smaller than the sum of its proper divisors (6557914195200).

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

1821949459200 is a wasteful number, since it uses less digits than its factorization.

1821949459200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1821949459200 in words is "one trillion, eight hundred twenty-one billion, nine hundred forty-nine million, four hundred fifty-nine thousand, two hundred".