4014043561440 has 288 divisors, whose sum is σ = 14948317238400. Its totient is φ = 972767554560.

The previous prime is 4014043561417. The next prime is 4014043561441. The reversal of 4014043561440 is 441653404104.

4014043561440 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 0 + 4 + 35 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4014043561440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4014043561395 and 4014043561404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014043561441) 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, 47778991 + ... + 47862929.

It is an arithmetic number, because the mean of its divisors is an integer number (51903879300).

Almost surely, 2^{4014043561440} is an apocalyptic number.

4014043561440 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 4014043561440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7474158619200).

4014043561440 is an abundant number, since it is smaller than the sum of its proper divisors (10934273676960).

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

4014043561440 is a wasteful number, since it uses less digits than its factorization.

4014043561440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86990 (or 86979 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4014043561440 its reverse (441653404104), we get a palindrome (4455696965544).

The spelling of 4014043561440 in words is "four trillion, fourteen billion, forty-three million, five hundred sixty-one thousand, four hundred forty".