1027945169328 has 80 divisors (see below), whose sum is σ = 3310784453376. Its totient is φ = 266998744320.

The previous prime is 1027945169311. The next prime is 1027945169369. The reversal of 1027945169328 is 8239615497201.

1027945169328 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1027945169328² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139058151 + ... + 139065542.

It is a 1-persistent number, because it is pandigital, but 2⋅1027945169328 = 2055890338656 is not.

Almost surely, 2^{1027945169328} is an apocalyptic number.

It is an amenable number.

1027945169328 is an abundant number, since it is smaller than the sum of its proper divisors (2282839284048).

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

1027945169328 is a wasteful number, since it uses less digits than its factorization.

1027945169328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278123722 (or 278123716 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 57.

The spelling of 1027945169328 in words is "one trillion, twenty-seven billion, nine hundred forty-five million, one hundred sixty-nine thousand, three hundred twenty-eight".