1990532404224 has 528 divisors, whose sum is σ = 7097529234432. Its totient is φ = 523229331456.

The previous prime is 1990532404199. The next prime is 1990532404241. The reversal of 1990532404224 is 4224042350991.

1990532404224 is a `hidden beast` number, since 1 + 9 + 90 + 532 + 4 + 0 + 4 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1990532404224.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 262495537 + ... + 262503119.

Almost surely, 2^{1990532404224} is an apocalyptic number.

1990532404224 is a gapful number since it is divisible by the number (14) 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 1990532404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548764617216).

1990532404224 is an abundant number, since it is smaller than the sum of its proper divisors (5106996830208).

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

1990532404224 is a wasteful number, since it uses less digits than its factorization.

1990532404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7921 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1990532404224 in words is "one trillion, nine hundred ninety billion, five hundred thirty-two million, four hundred four thousand, two hundred twenty-four".