4023104434440 has 256 divisors, whose sum is σ = 14890875148800. Its totient is φ = 846754504704.

The previous prime is 4023104434429. The next prime is 4023104434457. The reversal of 4023104434440 is 444344013204.

4023104434440 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 2×4023104434440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4015894 + ... + 4916666.

It is an arithmetic number, because the mean of its divisors is an integer number (58167481050).

Almost surely, 2^{4023104434440} is an apocalyptic number.

4023104434440 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 4023104434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445437574400).

4023104434440 is an abundant number, since it is smaller than the sum of its proper divisors (10867770714360).

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

4023104434440 is a wasteful number, since it uses less digits than its factorization.

4023104434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901216 (or 901212 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 4023104434440 its reverse (444344013204), we get a palindrome (4467448447644).

It can be divided in two parts, 4023104 and 434440, that added together give a palindrome (4457544).

The spelling of 4023104434440 in words is "four trillion, twenty-three billion, one hundred four million, four hundred thirty-four thousand, four hundred forty".