311440042010420 has 96 divisors (see below), whose sum is σ = 672630514365600. Its totient is φ = 121056913612800.

The previous prime is 311440042010413. The next prime is 311440042010473. The reversal of 311440042010420 is 24010240044113.

It can be written as a sum of positive squares in 16 ways, for example, as 11882939642896 + 299557102367524 = 3447164^2 + 17307718^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 311440042010420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220983746 + ... + 222388614.

It is an arithmetic number, because the mean of its divisors is an integer number (7006567857975).

Almost surely, 2^{311440042010420} 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 311440042010420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336315257182800).

311440042010420 is an abundant number, since it is smaller than the sum of its proper divisors (361190472355180).

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

311440042010420 is a wasteful number, since it uses less digits than its factorization.

311440042010420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1405989 (or 1405987 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 311440042010420 its reverse (24010240044113), we get a palindrome (335450282054533).

The spelling of 311440042010420 in words is "three hundred eleven trillion, four hundred forty billion, forty-two million, ten thousand, four hundred twenty".