4431343440000 has 640 divisors, whose sum is σ = 14995893528000. Its totient is φ = 1158842368000.

The previous prime is 4431343439981. The next prime is 4431343440019. The reversal of 4431343440000 is 443431344.

It is an interprime number because it is at equal distance from previous prime (4431343439981) and next prime (4431343440019).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×4431343440000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4431343440000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2968079254 + ... + 2968080746.

Almost surely, 2^{4431343440000} is an apocalyptic number.

4431343440000 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 4431343440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497946764000).

4431343440000 is an abundant number, since it is smaller than the sum of its proper divisors (10564550088000).

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

4431343440000 is a wasteful number, since it uses less digits than its factorization.

4431343440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1762 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 4431343440000 its reverse (443431344), we get a palindrome (4431786871344).

The spelling of 4431343440000 in words is "four trillion, four hundred thirty-one billion, three hundred forty-three million, four hundred forty thousand".