4484773440 has 448 divisors, whose sum is σ = 18712281600. Its totient is φ = 989356032.

The previous prime is 4484773429. The next prime is 4484773459. The reversal of 4484773440 is 443774844.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4484773440² = 40226385616258867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1752642 + ... + 1755198.

Almost surely, 2^4484773440 is an apocalyptic number.

4484773440 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 4484773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9356140800).

4484773440 is an abundant number, since it is smaller than the sum of its proper divisors (14227508160).

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

4484773440 is a wasteful number, since it uses less digits than its factorization.

4484773440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2603 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 45.

The square root of 4484773440 is about 66968.4510795942. The cubic root of 4484773440 is about 1649.0994093622.

It can be divided in two parts, 4484 and 773440, that added together give a square (777924 = 882²).

The spelling of 4484773440 in words is "four billion, four hundred eighty-four million, seven hundred seventy-three thousand, four hundred forty".