311440041200442 has 256 divisors, whose sum is σ = 787815386357760. Its totient is φ = 79731869184000.

The previous prime is 311440041200413. The next prime is 311440041200521. The reversal of 311440041200442 is 244002140044113.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22717918684 + ... + 22717932392.

It is an arithmetic number, because the mean of its divisors is an integer number (3077403852960).

Almost surely, 2^{311440041200442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311440041200442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393907693178880).

311440041200442 is an abundant number, since it is smaller than the sum of its proper divisors (476375345157318).

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

311440041200442 is a wasteful number, since it uses less digits than its factorization.

311440041200442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397.

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

Adding to 311440041200442 its reverse (244002140044113), we get a palindrome (555442181244555).

The spelling of 311440041200442 in words is "three hundred eleven trillion, four hundred forty billion, forty-one million, two hundred thousand, four hundred forty-two".