6440004000457 has 2 divisors, whose sum is σ = 6440004000458. Its totient is φ = 6440004000456.

The previous prime is 6440004000379. The next prime is 6440004000473. The reversal of 6440004000457 is 7540004000446.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4900826315961 + 1539177684496 = 2213781^2 + 1240636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-6440004000457 is a prime.

It is not a weakly prime, because it can be changed into another prime (6440004030457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3220002000228 + 3220002000229.

It is an arithmetic number, because the mean of its divisors is an integer number (3220002000229).

Almost surely, 2^{6440004000457} is an apocalyptic number.

It is an amenable number.

6440004000457 is a deficient number, since it is larger than the sum of its proper divisors (1).

6440004000457 is an equidigital number, since it uses as much as digits as its factorization.

6440004000457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 6440004000457 in words is "six trillion, four hundred forty billion, four million, four hundred fifty-seven", and thus it is an aban number.