1990218288240 has 2400 divisors, whose sum is σ = 9102667392000. Its totient is φ = 386120577024.

The previous prime is 1990218288209. The next prime is 1990218288251. The reversal of 1990218288240 is 428828120991.

1990218288240 is a `hidden beast` number, since 19 + 90 + 21 + 8 + 288 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 25192636521 + ... + 25192636599.

It is an arithmetic number, because the mean of its divisors is an integer number (3792778080).

Almost surely, 2^{1990218288240} is an apocalyptic number.

1990218288240 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 1990218288240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4551333696000).

1990218288240 is an abundant number, since it is smaller than the sum of its proper divisors (7112449103760).

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

1990218288240 is a wasteful number, since it uses less digits than its factorization.

1990218288240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 187 counting only the distinct ones).

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

The spelling of 1990218288240 in words is "one trillion, nine hundred ninety billion, two hundred eighteen million, two hundred eighty-eight thousand, two hundred forty".