4472160000 has 720 divisors, whose sum is σ = 18696615168. Its totient is φ = 929280000.

The previous prime is 4472159957. The next prime is 4472160013. The reversal of 4472160000 is 612744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 406559995 + ... + 406560005.

Almost surely, 2^4472160000 is an apocalyptic number.

4472160000 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 4472160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9348307584).

4472160000 is an abundant number, since it is smaller than the sum of its proper divisors (14224455168).

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

4472160000 is an frugal number, since it uses more digits than its factorization.

4472160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4472160000 is about 66874.2102757109. The cubic root of 4472160000 is about 1647.5519251881.

Adding to 4472160000 its reverse (612744), we get a palindrome (4472772744).

The spelling of 4472160000 in words is "four billion, four hundred seventy-two million, one hundred sixty thousand".