1038434369296 has 45 divisors (see below), whose sum is σ = 2020333085589. Its totient is φ = 517067018688.

The previous prime is 1038434369261. The next prime is 1038434369299. The reversal of 1038434369296 is 6929634348301.

It is a happy number.

The square root of 1038434369296 is 1019036.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 564451690000 + 473982679296 = 751300^2 + 688464^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1038434369296.

It is not an unprimeable number, because it can be changed into a prime (1038434369299) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1520401371 + ... + 1520402053.

Almost surely, 2^{1038434369296} is an apocalyptic number.

1038434369296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1038434369296 is the 1019036-th square number.

It is an amenable number.

1038434369296 is a deficient number, since it is larger than the sum of its proper divisors (981898716293).

1038434369296 is an frugal number, since it uses more digits than its factorization.

1038434369296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 58.

The spelling of 1038434369296 in words is "one trillion, thirty-eight billion, four hundred thirty-four million, three hundred sixty-nine thousand, two hundred ninety-six".