414777013121 has 2 divisors, whose sum is σ = 414777013122. Its totient is φ = 414777013120.

The previous prime is 414777013111. The next prime is 414777013129. The reversal of 414777013121 is 121310777414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 255364472896 + 159412540225 = 505336^2 + 399265^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414777013121 is a prime.

It is a super-2 number, since 2×414777013121² (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (414777013129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207388506560 + 207388506561.

It is an arithmetic number, because the mean of its divisors is an integer number (207388506561).

Almost surely, 2^414777013121 is an apocalyptic number.

It is an amenable number.

414777013121 is a deficient number, since it is larger than the sum of its proper divisors (1).

414777013121 is an equidigital number, since it uses as much as digits as its factorization.

414777013121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32928, while the sum is 38.

The spelling of 414777013121 in words is "four hundred fourteen billion, seven hundred seventy-seven million, thirteen thousand, one hundred twenty-one".