4431211013040 has 320 divisors, whose sum is σ = 16273932687360. Its totient is φ = 975909150720.

The previous prime is 4431211012957. The next prime is 4431211013101. The reversal of 4431211013040 is 403101121344.

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 4431211013040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23633260 + ... + 23820020.

It is an arithmetic number, because the mean of its divisors is an integer number (50856039648).

Almost surely, 2^{4431211013040} is an apocalyptic number.

4431211013040 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 4431211013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8136966343680).

4431211013040 is an abundant number, since it is smaller than the sum of its proper divisors (11842721674320).

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

4431211013040 is a wasteful number, since it uses less digits than its factorization.

4431211013040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187300 (or 187294 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 4431211013040 its reverse (403101121344), we get a palindrome (4834312134384).

The spelling of 4431211013040 in words is "four trillion, four hundred thirty-one billion, two hundred eleven million, thirteen thousand, forty".