405116173967 has 16 divisors (see below), whose sum is σ = 428482828800. Its totient is φ = 381955956480.

The previous prime is 405116173841. The next prime is 405116173991. The reversal of 405116173967 is 769371611504.

It is a cyclic number.

It is not a de Polignac number, because 405116173967 - 2¹⁰ = 405116172943 is a prime.

It is a super-2 number, since 2×405116173967² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405116173667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7679792 + ... + 7732362.

It is an arithmetic number, because the mean of its divisors is an integer number (26780176800).

Almost surely, 2^405116173967 is an apocalyptic number.

405116173967 is a deficient number, since it is larger than the sum of its proper divisors (23366654833).

405116173967 is a wasteful number, since it uses less digits than its factorization.

405116173967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54526.

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 405116173967 in words is "four hundred five billion, one hundred sixteen million, one hundred seventy-three thousand, nine hundred sixty-seven".