1414006734141 has 20 divisors (see below), whose sum is σ = 2112326221500. Its totient is φ = 942651271296.

The previous prime is 1414006734137. The next prime is 1414006734163. The reversal of 1414006734141 is 1414376004141.

1414006734141 is a `hidden beast` number, since 1 + 41 + 400 + 6 + 73 + 4 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 597822776100 + 816183958041 = 773190^2 + 903429^2 .

It is not a de Polignac number, because 1414006734141 - 2² = 1414006734137 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1414006734096 and 1414006734105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414006734131) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4370835 + ... + 4683183.

It is an arithmetic number, because the mean of its divisors is an integer number (105616311075).

Almost surely, 2^{1414006734141} is an apocalyptic number.

It is an amenable number.

1414006734141 is a deficient number, since it is larger than the sum of its proper divisors (698319487359).

1414006734141 is an equidigital number, since it uses as much as digits as its factorization.

1414006734141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368250 (or 368241 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1414006734141 in words is "one trillion, four hundred fourteen billion, six million, seven hundred thirty-four thousand, one hundred forty-one".