1032964875104 has 96 divisors (see below), whose sum is σ = 2230656890112. Its totient is φ = 468744192000.

The previous prime is 1032964875083. The next prime is 1032964875119. The reversal of 1032964875104 is 4015784692301.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 4629794 + ... + 4847774.

It is an arithmetic number, because the mean of its divisors is an integer number (23236009272).

It is a 1-persistent number, because it is pandigital, but 2⋅1032964875104 = 2065929750208 is not.

Almost surely, 2^{1032964875104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032964875104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1115328445056).

1032964875104 is an abundant number, since it is smaller than the sum of its proper divisors (1197692015008).

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

1032964875104 is a wasteful number, since it uses less digits than its factorization.

1032964875104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218320 (or 218312 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 1032964875104 in words is "one trillion, thirty-two billion, nine hundred sixty-four million, eight hundred seventy-five thousand, one hundred four".