4140414414049 has 2 divisors, whose sum is σ = 4140414414050. Its totient is φ = 4140414414048.

The previous prime is 4140414414013. The next prime is 4140414414091. The reversal of 4140414414049 is 9404144140414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3525982617600 + 614431796449 = 1877760^2 + 783857^2 .

It is a cyclic number.

It is not a de Polignac number, because 4140414414049 - 2¹³ = 4140414405857 is a prime.

It is not a weakly prime, because it can be changed into another prime (4140414414349) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2070207207024 + 2070207207025.

It is an arithmetic number, because the mean of its divisors is an integer number (2070207207025).

Almost surely, 2^{4140414414049} is an apocalyptic number.

It is an amenable number.

4140414414049 is a deficient number, since it is larger than the sum of its proper divisors (1).

4140414414049 is an equidigital number, since it uses as much as digits as its factorization.

4140414414049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 4140414414049 in words is "four trillion, one hundred forty billion, four hundred fourteen million, four hundred fourteen thousand, forty-nine".