4471272960 has 320 divisors, whose sum is σ = 17823573504. Its totient is φ = 928972800.

The previous prime is 4471272959. The next prime is 4471272961. The reversal of 4471272960 is 692721744.

It is an interprime number because it is at equal distance from previous prime (4471272959) and next prime (4471272961).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4471272961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587580 + ... + 595140.

Almost surely, 2^4471272960 is an apocalyptic number.

4471272960 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 4471272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911786752).

4471272960 is an abundant number, since it is smaller than the sum of its proper divisors (13352300544).

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

4471272960 is a wasteful number, since it uses less digits than its factorization.

4471272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7605 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 4471272960 is about 66867.5777937260. The cubic root of 4471272960 is about 1647.4429889325.

The spelling of 4471272960 in words is "four billion, four hundred seventy-one million, two hundred seventy-two thousand, nine hundred sixty".