1990428184800 has 1152 divisors, whose sum is σ = 8156717936640. Its totient is φ = 464071680000.

The previous prime is 1990428184709. The next prime is 1990428184817. The reversal of 1990428184800 is 84818240991.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1333172854 + ... + 1333174346.

It is an arithmetic number, because the mean of its divisors is an integer number (7080484320).

Almost surely, 2^{1990428184800} is an apocalyptic number.

1990428184800 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 1990428184800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078358968320).

1990428184800 is an abundant number, since it is smaller than the sum of its proper divisors (6166289751840).

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

1990428184800 is a wasteful number, since it uses less digits than its factorization.

1990428184800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 1990428184800 in words is "one trillion, nine hundred ninety billion, four hundred twenty-eight million, one hundred eighty-four thousand, eight hundred".