1027492404409 has 9 divisors (see below), whose sum is σ = 1030310962029. Its totient is φ = 1024681544640.

The previous prime is 1027492404359. The next prime is 1027492404451. The reversal of 1027492404409 is 9044042947201.

The square root of 1027492404409 is 1013653.

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

It can be written as a sum of positive squares in 4 ways, for example, as 83431434025 + 944060970384 = 288845^2 + 971628^2 .

It is not a de Polignac number, because 1027492404409 - 2¹¹ = 1027492402361 is a prime.

It is a super-2 number, since 2×1027492404409² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1027492404479) 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, 438910579 + ... + 438912919.

It is an arithmetic number, because the mean of its divisors is an integer number (114478995781).

Almost surely, 2^{1027492404409} is an apocalyptic number.

1027492404409 is the 1013653-rd square number.

1027492404409 is the 506827-th centered octagonal number.

It is an amenable number.

1027492404409 is a deficient number, since it is larger than the sum of its proper divisors (2818557620).

1027492404409 is an frugal number, since it uses more digits than its factorization.

1027492404409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5548 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 1027492404409 in words is "one trillion, twenty-seven billion, four hundred ninety-two million, four hundred four thousand, four hundred nine".