1029106339344 has 60 divisors (see below), whose sum is σ = 2880307899612. Its totient is φ = 343006924800.

The previous prime is 1029106339343. The next prime is 1029106339399. The reversal of 1029106339344 is 4439336019201.

It is a happy number.

1029106339344 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 1 + 0 + 633 + 9 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 874412010000 + 154694329344 = 935100^2 + 393312^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1029106339344.

It is not an unprimeable number, because it can be changed into a prime (1029106339343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1477504 + ... + 2059424.

Almost surely, 2^{1029106339344} is an apocalyptic number.

It is an amenable number.

1029106339344 is an abundant number, since it is smaller than the sum of its proper divisors (1851201560268).

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

1029106339344 is a wasteful number, since it uses less digits than its factorization.

1029106339344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594216 (or 594207 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 1029106339344 in words is "one trillion, twenty-nine billion, one hundred six million, three hundred thirty-nine thousand, three hundred forty-four".