1906384896000 has 2040 divisors, whose sum is σ = 8149672869624. Its totient is φ = 441660211200.

The previous prime is 1906384895963. The next prime is 1906384896001. The reversal of 1906384896000 is 6984836091.

It can be written as a sum of positive squares in 12 ways, for example, as 1706597351424 + 199787544576 = 1306368^2 + 446976^2 .

It is a tau number, because it is divible by the number of its divisors (2040).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1906384896001) 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 119 ways as a sum of consecutive naturals, for example, 112140287992 + ... + 112140288008.

Almost surely, 2^{1906384896000} is an apocalyptic number.

1906384896000 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 1906384896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074836434812).

1906384896000 is an abundant number, since it is smaller than the sum of its proper divisors (6243287973624).

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

1906384896000 is an frugal number, since it uses more digits than its factorization.

1906384896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 1906384896000 in words is "one trillion, nine hundred six billion, three hundred eighty-four million, eight hundred ninety-six thousand".