1023234412401 has 12 divisors (see below), whose sum is σ = 1564946748612. Its totient is φ = 642029435136.

The previous prime is 1023234412393. The next prime is 1023234412427. The reversal of 1023234412401 is 1042144323201.

1023234412401 is a `hidden beast` number, since 1 + 0 + 23 + 234 + 4 + 1 + 2 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 386789461776 + 636444950625 = 621924^2 + 797775^2 .

It is not a de Polignac number, because 1023234412401 - 2³ = 1023234412393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1023234412471) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3343903156 + ... + 3343903461.

It is an arithmetic number, because the mean of its divisors is an integer number (130412229051).

Almost surely, 2^{1023234412401} is an apocalyptic number.

It is an amenable number.

1023234412401 is a deficient number, since it is larger than the sum of its proper divisors (541712336211).

1023234412401 is a wasteful number, since it uses less digits than its factorization.

1023234412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687806640 (or 6687806637 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1023234412401 its reverse (1042144323201), we get a palindrome (2065378735602).

The spelling of 1023234412401 in words is "one trillion, twenty-three billion, two hundred thirty-four million, four hundred twelve thousand, four hundred one".