401414311409 has 2 divisors, whose sum is σ = 401414311410. Its totient is φ = 401414311408.

The previous prime is 401414311387. The next prime is 401414311429. The reversal of 401414311409 is 904113414104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 398741731600 + 2672579809 = 631460^2 + 51697^2 .

It is a cyclic number.

It is not a de Polignac number, because 401414311409 - 2⁸ = 401414311153 is a prime.

It is a super-2 number, since 2×401414311409² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401414311429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200707155704 + 200707155705.

It is an arithmetic number, because the mean of its divisors is an integer number (200707155705).

Almost surely, 2^401414311409 is an apocalyptic number.

It is an amenable number.

401414311409 is a deficient number, since it is larger than the sum of its proper divisors (1).

401414311409 is an equidigital number, since it uses as much as digits as its factorization.

401414311409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 401414311409 in words is "four hundred one billion, four hundred fourteen million, three hundred eleven thousand, four hundred nine".