400116046761 has 10 divisors (see below), whose sum is σ = 597704218122. Its totient is φ = 266744031120.

The previous prime is 400116046753. The next prime is 400116046763. The reversal of 400116046761 is 167640611004.

It is a happy number.

400116046761 is a `hidden beast` number, since 40 + 0 + 1 + 1 + 604 + 6 + 7 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 399626265600 + 489781161 = 632160^2 + 22131^2 .

It is not a de Polignac number, because 400116046761 - 2³ = 400116046753 is a prime.

It is a super-2 number, since 2×400116046761² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400116046763) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2469852060 + ... + 2469852221.

Almost surely, 2^400116046761 is an apocalyptic number.

It is an amenable number.

400116046761 is a deficient number, since it is larger than the sum of its proper divisors (197588171361).

400116046761 is an equidigital number, since it uses as much as digits as its factorization.

400116046761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4939704293 (or 4939704284 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 400116046761 its reverse (167640611004), we get a palindrome (567756657765).

The spelling of 400116046761 in words is "four hundred billion, one hundred sixteen million, forty-six thousand, seven hundred sixty-one".