1427960470729 has 9 divisors (see below), whose sum is σ = 1546269875829. Its totient is φ = 1318103017920.

The previous prime is 1427960470697. The next prime is 1427960470777. The reversal of 1427960470729 is 9270740697241.

It is a happy number.

The square root of 1427960470729 is 1194973.

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 661025911225 + 766934559504 = 813035^2 + 875748^2 .

It is not a de Polignac number, because 1427960470729 - 2⁵ = 1427960470697 is a prime.

It is a super-2 number, since 2×1427960470729² (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 (1427960470429) 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, 15488689 + ... + 15580609.

It is an arithmetic number, because the mean of its divisors is an integer number (171807763981).

Almost surely, 2^{1427960470729} is an apocalyptic number.

1427960470729 is the 1194973-rd square number.

1427960470729 is the 597487-th centered octagonal number.

It is an amenable number.

1427960470729 is a deficient number, since it is larger than the sum of its proper divisors (118309405100).

1427960470729 is an frugal number, since it uses more digits than its factorization.

1427960470729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183868 (or 91934 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 58.

The spelling of 1427960470729 in words is "one trillion, four hundred twenty-seven billion, nine hundred sixty million, four hundred seventy thousand, seven hundred twenty-nine".