4031256824401 has 27 divisors (see below), whose sum is σ = 4211308088337. Its totient is φ = 3858829054080.

The previous prime is 4031256824393. The next prime is 4031256824407. The reversal of 4031256824401 is 1044286521304.

It is a happy number.

The square root of 4031256824401 is 2007799.

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 62093164225 + 3969163660176 = 249185^2 + 1992276^2 .

It is not a de Polignac number, because 4031256824401 - 2³ = 4031256824393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4031256824407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4575773481 + ... + 4575774361.

Almost surely, 2^{4031256824401} is an apocalyptic number.

4031256824401 is the 2007799-th square number.

4031256824401 is the 1003900-th centered octagonal number.

It is an amenable number.

4031256824401 is a deficient number, since it is larger than the sum of its proper divisors (180051263936).

4031256824401 is an frugal number, since it uses more digits than its factorization.

4031256824401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 4031256824401 in words is "four trillion, thirty-one billion, two hundred fifty-six million, eight hundred twenty-four thousand, four hundred one".