434077700401 has 2 divisors, whose sum is σ = 434077700402. Its totient is φ = 434077700400.

The previous prime is 434077700333. The next prime is 434077700461. The reversal of 434077700401 is 104007770434.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 343572994801 + 90504705600 = 586151^2 + 300840^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-434077700401 is a prime.

It is not a weakly prime, because it can be changed into another prime (434077700461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 217038850200 + 217038850201.

It is an arithmetic number, because the mean of its divisors is an integer number (217038850201).

Almost surely, 2^434077700401 is an apocalyptic number.

It is an amenable number.

434077700401 is a deficient number, since it is larger than the sum of its proper divisors (1).

434077700401 is an equidigital number, since it uses as much as digits as its factorization.

434077700401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 65856, while the sum is 37.

The spelling of 434077700401 in words is "four hundred thirty-four billion, seventy-seven million, seven hundred thousand, four hundred one".