1029427364449 has 9 divisors (see below), whose sum is σ = 1131531602131. Its totient is φ = 935832912520.

The previous prime is 1029427364401. The next prime is 1029427364503. The reversal of 1029427364449 is 9444637249201.

It is a happy number.

The square root of 1029427364449 is 1014607.

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., 405851814225 + 623575550224 = 637065^2 + 789668^2 .

It is not a de Polignac number, because 1029427364449 - 2⁷ = 1029427364321 is a prime.

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 1029427364449.

It is not an unprimeable number, because it can be changed into a prime (1029427364149) 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, 11114559 + ... + 11206795.

Almost surely, 2^{1029427364449} is an apocalyptic number.

1029427364449 is the 1014607-th square number.

1029427364449 is the 507304-th centered octagonal number.

It is an amenable number.

1029427364449 is a deficient number, since it is larger than the sum of its proper divisors (102104237682).

1029427364449 is an frugal number, since it uses more digits than its factorization.

1029427364449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184496 (or 92248 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 55.

The spelling of 1029427364449 in words is "one trillion, twenty-nine billion, four hundred twenty-seven million, three hundred sixty-four thousand, four hundred forty-nine".