1032384325920 has 384 divisors, whose sum is σ = 3642282008064. Its totient is φ = 244444299264.

The previous prime is 1032384325853. The next prime is 1032384325963. The reversal of 1032384325920 is 295234832301.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 13662964 + ... + 13738316.

It is an arithmetic number, because the mean of its divisors is an integer number (9485109396).

Almost surely, 2^{1032384325920} is an apocalyptic number.

1032384325920 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 1032384325920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821141004032).

1032384325920 is an abundant number, since it is smaller than the sum of its proper divisors (2609897682144).

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

1032384325920 is a wasteful number, since it uses less digits than its factorization.

1032384325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75484 (or 75476 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 1032384325920 in words is "one trillion, thirty-two billion, three hundred eighty-four million, three hundred twenty-five thousand, nine hundred twenty".