144100100041409 has 2 divisors, whose sum is σ = 144100100041410. Its totient is φ = 144100100041408.

The previous prime is 144100100041361. The next prime is 144100100041411. The reversal of 144100100041409 is 904140001001441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 143555072213809 + 545027827600 = 11981447^2 + 738260^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-144100100041409 is a prime.

It is a Sophie Germain prime.

Together with 144100100041411, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (144100100341409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050050020704 + 72050050020705.

It is an arithmetic number, because the mean of its divisors is an integer number (72050050020705).

Almost surely, 2^{144100100041409} is an apocalyptic number.

It is an amenable number.

144100100041409 is a deficient number, since it is larger than the sum of its proper divisors (1).

144100100041409 is an equidigital number, since it uses as much as digits as its factorization.

144100100041409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 144100100041409 in words is "one hundred forty-four trillion, one hundred billion, one hundred million, forty-one thousand, four hundred nine".