1406504531441 has 32 divisors (see below), whose sum is σ = 1513589317632. Its totient is φ = 1302312336640.

The previous prime is 1406504531381. The next prime is 1406504531447. The reversal of 1406504531441 is 1441354056041.

It is a cyclic number.

It is not a de Polignac number, because 1406504531441 - 2¹⁴ = 1406504515057 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1406504531395 and 1406504531404.

It is not an unprimeable number, because it can be changed into a prime (1406504531447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542841056 + ... + 542843646.

It is an arithmetic number, because the mean of its divisors is an integer number (47299666176).

Almost surely, 2^{1406504531441} is an apocalyptic number.

It is an amenable number.

1406504531441 is a deficient number, since it is larger than the sum of its proper divisors (107084786191).

1406504531441 is a wasteful number, since it uses less digits than its factorization.

1406504531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669.

The product of its (nonzero) digits is 115200, while the sum is 38.

Adding to 1406504531441 its reverse (1441354056041), we get a palindrome (2847858587482).

The spelling of 1406504531441 in words is "one trillion, four hundred six billion, five hundred four million, five hundred thirty-one thousand, four hundred forty-one".