312441114440 has 256 divisors, whose sum is σ = 903894405120. Its totient is φ = 94472801280.

The previous prime is 312441114413. The next prime is 312441114473. The reversal of 312441114440 is 44411144213.

It is a happy 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 63 ways as a sum of consecutive naturals, for example, 98034527 + ... + 98037713.

It is an arithmetic number, because the mean of its divisors is an integer number (3530837520).

Almost surely, 2^312441114440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312441114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451947202560).

312441114440 is an abundant number, since it is smaller than the sum of its proper divisors (591453290680).

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

312441114440 is a wasteful number, since it uses less digits than its factorization.

312441114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4412 (or 4408 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 312441114440 its reverse (44411144213), we get a palindrome (356852258653).

The spelling of 312441114440 in words is "three hundred twelve billion, four hundred forty-one million, one hundred fourteen thousand, four hundred forty".