4014103312440 has 192 divisors, whose sum is σ = 14392029637440. Its totient is φ = 963987240960.

The previous prime is 4014103312433. The next prime is 4014103312447. The reversal of 4014103312440 is 442133014104.

4014103312440 is a `hidden beast` number, since 4 + 0 + 1 + 410 + 3 + 3 + 1 + 244 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4014103312433) and next prime (4014103312447).

It is a super-2 number, since 2×4014103312440² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014103312447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10268052 + ... + 10651811.

It is an arithmetic number, because the mean of its divisors is an integer number (74958487695).

Almost surely, 2^{4014103312440} is an apocalyptic number.

4014103312440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014103312440 is an abundant number, since it is smaller than the sum of its proper divisors (10377926325000).

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

4014103312440 is a wasteful number, since it uses less digits than its factorization.

4014103312440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20919934 (or 20919927 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4014103312440 its reverse (442133014104), we get a palindrome (4456236326544).

The spelling of 4014103312440 in words is "four trillion, fourteen billion, one hundred three million, three hundred twelve thousand, four hundred forty".