1026069728401 has 9 divisors (see below), whose sum is σ = 1050531342651. Its totient is φ = 1002165097752.

The previous prime is 1026069728339. The next prime is 1026069728419. The reversal of 1026069728401 is 1048279606201.

The square root of 1026069728401 is 1012951.

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

1026069728401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2176689025 + 1023893039376 = 46655^2 + 1011876^2 .

It is not a de Polignac number, because 1026069728401 - 2¹⁵ = 1026069695633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1026069728701) 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, 43545115 + ... + 43568671.

It is an arithmetic number, because the mean of its divisors is an integer number (116725704739).

Almost surely, 2^{1026069728401} is an apocalyptic number.

1026069728401 is the 1012951-st square number.

1026069728401 is the 506476-th centered octagonal number.

It is an amenable number.

1026069728401 is a deficient number, since it is larger than the sum of its proper divisors (24461614250).

1026069728401 is an frugal number, since it uses more digits than its factorization.

1026069728401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47200 (or 23600 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 1026069728401 in words is "one trillion, twenty-six billion, sixty-nine million, seven hundred twenty-eight thousand, four hundred one".