4014311211240 has 256 divisors, whose sum is σ = 13876934860800. Its totient is φ = 919871769600.

The previous prime is 4014311211233. The next prime is 4014311211241. The reversal of 4014311211240 is 421121134104.

It is a happy number.

It is a super-2 number, since 2×4014311211240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4014311211240.

It is not an unprimeable number, because it can be changed into a prime (4014311211241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 618846 + ... + 2900274.

It is an arithmetic number, because the mean of its divisors is an integer number (54206776800).

Almost surely, 2^{4014311211240} is an apocalyptic number.

4014311211240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4014311211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6938467430400).

4014311211240 is an abundant number, since it is smaller than the sum of its proper divisors (9862623649560).

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

4014311211240 is a wasteful number, since it uses less digits than its factorization.

4014311211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281528 (or 2281524 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 4014311211240 its reverse (421121134104), we get a palindrome (4435432345344).

The spelling of 4014311211240 in words is "four trillion, fourteen billion, three hundred eleven million, two hundred eleven thousand, two hundred forty".