4480583040 has 320 divisors, whose sum is σ = 16846830000. Its totient is φ = 1131687936.

The previous prime is 4480583017. The next prime is 4480583119. The reversal of 4480583040 is 403850844.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 4480582986 and 4480583004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982686 + ... + 987234.

Almost surely, 2^4480583040 is an apocalyptic number.

4480583040 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 4480583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423415000).

4480583040 is an abundant number, since it is smaller than the sum of its proper divisors (12366246960).

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

4480583040 is a wasteful number, since it uses less digits than its factorization.

4480583040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4599 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 4480583040 is about 66937.1573940812. The cubic root of 4480583040 is about 1648.5856309338.

The spelling of 4480583040 in words is "four billion, four hundred eighty million, five hundred eighty-three thousand, forty".