1024401064129 has 9 divisors (see below), whose sum is σ = 1027030206243. Its totient is φ = 1021778643072.

The previous prime is 1024401064121. The next prime is 1024401064133. The reversal of 1024401064129 is 9214601044201.

It is a happy number.

The square root of 1024401064129 is 1012127.

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., 969388225 + 1023431675904 = 31135^2 + 1011648^2 .

It is not a de Polignac number, because 1024401064129 - 2³ = 1024401064121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1024401064094 and 1024401064103.

It is not an unprimeable number, because it can be changed into a prime (1024401064121) 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, 484807777 + ... + 484809889.

Almost surely, 2^{1024401064129} is an apocalyptic number.

1024401064129 is the 1012127-th square number.

1024401064129 is the 506064-th centered octagonal number.

It is an amenable number.

1024401064129 is a deficient number, since it is larger than the sum of its proper divisors (2629142114).

1024401064129 is an frugal number, since it uses more digits than its factorization.

1024401064129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5184 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 1024401064129 in words is "one trillion, twenty-four billion, four hundred one million, sixty-four thousand, one hundred twenty-nine".