4569004440 has 768 divisors, whose sum is σ = 20630937600. Its totient is φ = 846028800.

The previous prime is 4569004417. The next prime is 4569004457. The reversal of 4569004440 is 444009654.

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 = 4569004395 and 4569004404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11170956 + ... + 11171364.

It is an arithmetic number, because the mean of its divisors is an integer number (26863200).

Almost surely, 2^4569004440 is an apocalyptic number.

4569004440 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 4569004440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315468800).

4569004440 is an abundant number, since it is smaller than the sum of its proper divisors (16061933160).

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

4569004440 is a wasteful number, since it uses less digits than its factorization.

4569004440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4569004440 is about 67594.4113074446. The cubic root of 4569004440 is about 1659.3596552785.

The spelling of 4569004440 in words is "four billion, five hundred sixty-nine million, four thousand, four hundred forty".