4565044440 has 384 divisors, whose sum is σ = 16905470400. Its totient is φ = 1094860800.

The previous prime is 4565044433. The next prime is 4565044453. The reversal of 4565044440 is 444405654.

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 = 4565044395 and 4565044404.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 23652984 + ... + 23653176.

Almost surely, 2^4565044440 is an apocalyptic number.

4565044440 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 4565044440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8452735200).

4565044440 is an abundant number, since it is smaller than the sum of its proper divisors (12340425960).

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

4565044440 is a wasteful number, since it uses less digits than its factorization.

4565044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4565044440 is about 67565.1125951848. The cubic root of 4565044440 is about 1658.8801224002.

The spelling of 4565044440 in words is "four billion, five hundred sixty-five million, forty-four thousand, four hundred forty".