4472742400 has 120 divisors (see below), whose sum is σ = 12664903680. Its totient is φ = 1533480960.

The previous prime is 4472742361. The next prime is 4472742401. The reversal of 4472742400 is 42472744.

It is not an unprimeable number, because it can be changed into a prime (4472742401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64641 + ... + 114559.

It is an arithmetic number, because the mean of its divisors is an integer number (105540864).

Almost surely, 2^4472742400 is an apocalyptic number.

4472742400 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 4472742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332451840).

4472742400 is an abundant number, since it is smaller than the sum of its proper divisors (8192161280).

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

4472742400 is an equidigital number, since it uses as much as digits as its factorization.

4472742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49954 (or 49933 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 34.

The square root of 4472742400 is about 66878.5645778975. The cubic root of 4472742400 is about 1647.6234411588.

The spelling of 4472742400 in words is "four billion, four hundred seventy-two million, seven hundred forty-two thousand, four hundred".