1998046670400 has 1512 divisors, whose sum is σ = 8186785012224. Its totient is φ = 461260800000.

The previous prime is 1998046670371. The next prime is 1998046670407. The reversal of 1998046670400 is 40766408991.

1998046670400 is a `hidden beast` number, since 1 + 99 + 80 + 4 + 6 + 6 + 70 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998046670407) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 3835022140 + ... + 3835022660.

It is an arithmetic number, because the mean of its divisors is an integer number (5414540352).

Almost surely, 2^{1998046670400} is an apocalyptic number.

1998046670400 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 1998046670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4093392506112).

1998046670400 is an abundant number, since it is smaller than the sum of its proper divisors (6188738341824).

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

1998046670400 is a wasteful number, since it uses less digits than its factorization.

1998046670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1998046670400 in words is "one trillion, nine hundred ninety-eight billion, forty-six million, six hundred seventy thousand, four hundred".