1032006044160 has 1800 divisors, whose sum is σ = 4663743868476. Its totient is φ = 217379635200.

The previous prime is 1032006044149. The next prime is 1032006044183. The reversal of 1032006044160 is 614406002301.

1032006044160 is a `hidden beast` number, since 10 + 3 + 2 + 0 + 0 + 604 + 41 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 246953339136 + 785052705024 = 496944^2 + 886032^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1717147860 + ... + 1717148460.

Almost surely, 2^{1032006044160} is an apocalyptic number.

1032006044160 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 1032006044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331871934238).

1032006044160 is an abundant number, since it is smaller than the sum of its proper divisors (3631737824316).

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

1032006044160 is an equidigital number, since it uses as much as digits as its factorization.

1032006044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 1032006044160 in words is "one trillion, thirty-two billion, six million, forty-four thousand, one hundred sixty".