6400120311 has 40 divisors (see below), whose sum is σ = 10490467680. Its totient is φ = 3864189888.

The previous prime is 6400120273. The next prime is 6400120367. The reversal of 6400120311 is 1130210046.

It is a happy number.

6400120311 is a `hidden beast` number, since 640 + 0 + 1 + 20 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 6400120311 - 2⁹ = 6400119799 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6400120511) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1531 + ... + 113148.

It is an arithmetic number, because the mean of its divisors is an integer number (262261692).

Almost surely, 2^6400120311 is an apocalyptic number.

6400120311 is a deficient number, since it is larger than the sum of its proper divisors (4090347369).

6400120311 is a wasteful number, since it uses less digits than its factorization.

6400120311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114757 (or 114748 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6400120311 is about 80000.7519402162. The cubic root of 6400120311 is about 1856.6471674179.

Adding to 6400120311 its reverse (1130210046), we get a palindrome (7530330357).

The spelling of 6400120311 in words is "six billion, four hundred million, one hundred twenty thousand, three hundred eleven".