414032233949977 has 2 divisors, whose sum is σ = 414032233949978. Its totient is φ = 414032233949976.

The previous prime is 414032233949953. The next prime is 414032233949989. The reversal of 414032233949977 is 779949332230414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 412813972094976 + 1218261855001 = 20317824^2 + 1103749^2 .

It is a cyclic number.

It is not a de Polignac number, because 414032233949977 - 2¹⁵ = 414032233917209 is a prime.

It is not a weakly prime, because it can be changed into another prime (414032233949927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207016116974988 + 207016116974989.

It is an arithmetic number, because the mean of its divisors is an integer number (207016116974989).

Almost surely, 2^{414032233949977} is an apocalyptic number.

It is an amenable number.

414032233949977 is a deficient number, since it is larger than the sum of its proper divisors (1).

414032233949977 is an equidigital number, since it uses as much as digits as its factorization.

414032233949977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 246903552, while the sum is 67.

The spelling of 414032233949977 in words is "four hundred fourteen trillion, thirty-two billion, two hundred thirty-three million, nine hundred forty-nine thousand, nine hundred seventy-seven".