1026104435312 has 160 divisors (see below), whose sum is σ = 2212427395584. Its totient is φ = 457154969600.

The previous prime is 1026104435311. The next prime is 1026104435347. The reversal of 1026104435312 is 2135344016201.

1026104435312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1026104435312³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026104435311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753933512 + ... + 753934872.

Almost surely, 2^{1026104435312} 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 1026104435312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106213697792).

1026104435312 is an abundant number, since it is smaller than the sum of its proper divisors (1186322960272).

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

1026104435312 is a wasteful number, since it uses less digits than its factorization.

1026104435312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 1026104435312 in words is "one trillion, twenty-six billion, one hundred four million, four hundred thirty-five thousand, three hundred twelve".