4440431231460 has 360 divisors, whose sum is σ = 16208442169920. Its totient is φ = 1014680628864.

The previous prime is 4440431231459. The next prime is 4440431231479. The reversal of 4440431231460 is 641321340444.

4440431231460 is a `hidden beast` number, since 44 + 40 + 431 + 2 + 3 + 146 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 503502931 + ... + 503511749.

It is an arithmetic number, because the mean of its divisors is an integer number (45023450472).

Almost surely, 2^{4440431231460} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4440431231460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104221084960).

4440431231460 is an abundant number, since it is smaller than the sum of its proper divisors (11768010938460).

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

4440431231460 is a wasteful number, since it uses less digits than its factorization.

4440431231460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15197 (or 15179 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 4440431231460 in words is "four trillion, four hundred forty billion, four hundred thirty-one million, two hundred thirty-one thousand, four hundred sixty".