406071616105 has 8 divisors (see below), whose sum is σ = 487290173832. Its totient is φ = 324854469888.

The previous prime is 406071616103. The next prime is 406071616117. The reversal of 406071616105 is 501616170604.

It can be written as a sum of positive squares in 4 ways, for example, as 4322273536 + 401749342569 = 65744^2 + 633837^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 406071616105 - 2¹ = 406071616103 is a prime.

It is a super-2 number, since 2×406071616105² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406071616103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443377 + ... + 1004353.

It is an arithmetic number, because the mean of its divisors is an integer number (60911271729).

Almost surely, 2^406071616105 is an apocalyptic number.

It is an amenable number.

406071616105 is a deficient number, since it is larger than the sum of its proper divisors (81218557727).

406071616105 is a wasteful number, since it uses less digits than its factorization.

406071616105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705755.

The product of its (nonzero) digits is 30240, while the sum is 37.

Adding to 406071616105 its reverse (501616170604), we get a palindrome (907687786709).

The spelling of 406071616105 in words is "four hundred six billion, seventy-one million, six hundred sixteen thousand, one hundred five".