1990432604160 has 3840 divisors, whose sum is σ = 10146550579200. Its totient is φ = 356725555200.

The previous prime is 1990432604159. The next prime is 1990432604177. The reversal of 1990432604160 is 614062340991.

1990432604160 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 4 + 32 + 604 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 255 ways as a sum of consecutive naturals, for example, 64207503345 + ... + 64207503375.

It is an arithmetic number, because the mean of its divisors is an integer number (2642330880).

Almost surely, 2^{1990432604160} is an apocalyptic number.

1990432604160 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 1990432604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073275289600).

1990432604160 is an abundant number, since it is smaller than the sum of its proper divisors (8156117975040).

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

1990432604160 is a wasteful number, since it uses less digits than its factorization.

1990432604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1990432604160 in words is "one trillion, nine hundred ninety billion, four hundred thirty-two million, six hundred four thousand, one hundred sixty".