4431201331440 has 320 divisors, whose sum is σ = 14870519225856. Its totient is φ = 1085083693056.

The previous prime is 4431201331429. The next prime is 4431201331499. The reversal of 4431201331440 is 441331021344.

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

It is a junction number, because it is equal to n+sod(n) for n = 4431201331398 and 4431201331407.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 590272167 + ... + 590279673.

Almost surely, 2^{4431201331440} is an apocalyptic number.

4431201331440 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 4431201331440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435259612928).

4431201331440 is an abundant number, since it is smaller than the sum of its proper divisors (10439317894416).

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

4431201331440 is a wasteful number, since it uses less digits than its factorization.

4431201331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8490 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 4431201331440 its reverse (441331021344), we get a palindrome (4872532352784).

The spelling of 4431201331440 in words is "four trillion, four hundred thirty-one billion, two hundred one million, three hundred thirty-one thousand, four hundred forty".