4331000113440 has 1536 divisors, whose sum is σ = 18931467018240. Its totient is φ = 803163340800.

The previous prime is 4331000113439. The next prime is 4331000113441. The reversal of 4331000113440 is 443110001334.

It is an interprime number because it is at equal distance from previous prime (4331000113439) and next prime (4331000113441).

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 4331000113440.

It is not an unprimeable number, because it can be changed into a prime (4331000113441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3182218360 + ... + 3182219720.

It is an arithmetic number, because the mean of its divisors is an integer number (12325173840).

Almost surely, 2^{4331000113440} is an apocalyptic number.

4331000113440 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 4331000113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465733509120).

4331000113440 is an abundant number, since it is smaller than the sum of its proper divisors (14600466904800).

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

4331000113440 is a wasteful number, since it uses less digits than its factorization.

4331000113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4331000113440 its reverse (443110001334), we get a palindrome (4774110114774).

The spelling of 4331000113440 in words is "four trillion, three hundred thirty-one billion, one hundred thirteen thousand, four hundred forty".