4024240440440 has 128 divisors (see below), whose sum is σ = 9960402816000. Its totient is φ = 1451156160000.

The previous prime is 4024240440413. The next prime is 4024240440443. The reversal of 4024240440440 is 440440424204.

4024240440440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4024240440440² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024240440397 and 4024240440406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4024240440443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25211201 + ... + 25370319.

It is an arithmetic number, because the mean of its divisors is an integer number (77815647000).

Almost surely, 2^{4024240440440} is an apocalyptic number.

4024240440440 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 4024240440440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4980201408000).

4024240440440 is an abundant number, since it is smaller than the sum of its proper divisors (5936162375560).

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

4024240440440 is a wasteful number, since it uses less digits than its factorization.

4024240440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159621 (or 159617 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4024240440440 its reverse (440440424204), we get a palindrome (4464680864644).

The spelling of 4024240440440 in words is "four trillion, twenty-four billion, two hundred forty million, four hundred forty thousand, four hundred forty".