311144040444 has 48 divisors (see below), whose sum is σ = 728913765888. Its totient is φ = 103298987328.

The previous prime is 311144040439. The next prime is 311144040463. The reversal of 311144040444 is 444040441113.

It is a super-2 number, since 2×311144040444² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25011394 + ... + 25023830.

It is an arithmetic number, because the mean of its divisors is an integer number (15185703456).

Almost surely, 2^311144040444 is an apocalyptic number.

It is an amenable number.

311144040444 is an abundant number, since it is smaller than the sum of its proper divisors (417769725444).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311144040444 is a wasteful number, since it uses less digits than its factorization.

311144040444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20634 (or 20632 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 311144040444 its reverse (444040441113), we get a palindrome (755184481557).

The spelling of 311144040444 in words is "three hundred eleven billion, one hundred forty-four million, forty thousand, four hundred forty-four".