1406463164401 has 2 divisors, whose sum is σ = 1406463164402. Its totient is φ = 1406463164400.

The previous prime is 1406463164377. The next prime is 1406463164419. The reversal of 1406463164401 is 1044613646041.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1171990282225 + 234472882176 = 1082585^2 + 484224^2 .

It is a cyclic number.

It is not a de Polignac number, because 1406463164401 - 2³⁵ = 1372103426033 is a prime.

It is not a weakly prime, because it can be changed into another prime (1406463167401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 703231582200 + 703231582201.

It is an arithmetic number, because the mean of its divisors is an integer number (703231582201).

Almost surely, 2^{1406463164401} is an apocalyptic number.

It is an amenable number.

1406463164401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1406463164401 is an equidigital number, since it uses as much as digits as its factorization.

1406463164401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 1406463164401 in words is "one trillion, four hundred six billion, four hundred sixty-three million, one hundred sixty-four thousand, four hundred one".