311441401424321 has 32 divisors (see below), whose sum is σ = 361903620114432. Its totient is φ = 262475133096960.

The previous prime is 311441401424249. The next prime is 311441401424401. The reversal of 311441401424321 is 123424104144113.

It is a de Polignac number, because none of the positive numbers 2^k-311441401424321 is a prime.

It is a super-2 number, since 2×311441401424321² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (311441401324321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19904216720 + ... + 19904232366.

It is an arithmetic number, because the mean of its divisors is an integer number (11309488128576).

Almost surely, 2^{311441401424321} is an apocalyptic number.

It is an amenable number.

311441401424321 is a deficient number, since it is larger than the sum of its proper divisors (50462218690111).

311441401424321 is a wasteful number, since it uses less digits than its factorization.

311441401424321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30209.

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 311441401424321 its reverse (123424104144113), we get a palindrome (434865505568434).

The spelling of 311441401424321 in words is "three hundred eleven trillion, four hundred forty-one billion, four hundred one million, four hundred twenty-four thousand, three hundred twenty-one".