414004033140097 has 2 divisors, whose sum is σ = 414004033140098. Its totient is φ = 414004033140096.

The previous prime is 414004033140073. The next prime is 414004033140167. The reversal of 414004033140097 is 790041330400414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393826247643136 + 20177785496961 = 19845056^2 + 4491969^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414004033140097 is a prime.

It is not a weakly prime, because it can be changed into another prime (414004033149097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207002016570048 + 207002016570049.

It is an arithmetic number, because the mean of its divisors is an integer number (207002016570049).

Almost surely, 2^{414004033140097} is an apocalyptic number.

It is an amenable number.

414004033140097 is a deficient number, since it is larger than the sum of its proper divisors (1).

414004033140097 is an equidigital number, since it uses as much as digits as its factorization.

414004033140097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 414004033140097 in words is "four hundred fourteen trillion, four billion, thirty-three million, one hundred forty thousand, ninety-seven".