1406171444041 has 81 divisors (see below), whose sum is σ = 1804346149941. Its totient is φ = 1092169600704.

The previous prime is 1406171444023. The next prime is 1406171444071. The reversal of 1406171444041 is 1404441716041.

The square root of 1406171444041 is 1185821.

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 453439277641 + 952732166400 = 673379^2 + 976080^2 .

It is not a de Polignac number, because 1406171444041 - 2²⁷ = 1406037226313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1406171444071) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8956505935 + ... + 8956506091.

Almost surely, 2^{1406171444041} is an apocalyptic number.

1406171444041 is the 1185821-st square number.

1406171444041 is the 592911-st centered octagonal number.

It is an amenable number.

1406171444041 is a deficient number, since it is larger than the sum of its proper divisors (398174705900).

1406171444041 is an frugal number, since it uses more digits than its factorization.

1406171444041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 1406171444041 in words is "one trillion, four hundred six billion, one hundred seventy-one million, four hundred forty-four thousand, forty-one".