4731444264960 has 2160 divisors, whose sum is σ = 21088515160944. Its totient is φ = 1008344236032.

The previous prime is 4731444264949. The next prime is 4731444264971. The reversal of 4731444264960 is 694624441374.

4731444264960 is a `hidden beast` number, since 4 + 7 + 3 + 144 + 4 + 2 + 6 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4731444264949) and next prime (4731444264971).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4731444264897 and 4731444264906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 44219105227 + ... + 44219105333.

Almost surely, 2^{4731444264960} is an apocalyptic number.

4731444264960 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 4731444264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544257580472).

4731444264960 is an abundant number, since it is smaller than the sum of its proper divisors (16357070895984).

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

4731444264960 is an equidigital number, since it uses as much as digits as its factorization.

4731444264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4731444264960 in words is "four trillion, seven hundred thirty-one billion, four hundred forty-four million, two hundred sixty-four thousand, nine hundred sixty".