4022313311440 has 40 divisors (see below), whose sum is σ = 9352552244328. Its totient is φ = 1608809402880.

The previous prime is 4022313311389. The next prime is 4022313311449. The reversal of 4022313311440 is 441133132204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1598848975936 + 2423464335504 = 1264456^2 + 1556748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4022313311399 and 4022313311408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4022313311449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689671 + ... + 2918950.

Almost surely, 2^{4022313311440} is an apocalyptic number.

4022313311440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4022313311440 is an abundant number, since it is smaller than the sum of its proper divisors (5330238932888).

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

4022313311440 is a wasteful number, since it uses less digits than its factorization.

4022313311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622567 (or 3622561 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4022313311440 its reverse (441133132204), we get a palindrome (4463446443644).

The spelling of 4022313311440 in words is "four trillion, twenty-two billion, three hundred thirteen million, three hundred eleven thousand, four hundred forty".