4469905440 has 864 divisors, whose sum is σ = 20893070016. Its totient is φ = 855429120.

The previous prime is 4469905417. The next prime is 4469905441. The reversal of 4469905440 is 445099644.

4469905440 is a `hidden beast` number, since 44 + 69 + 9 + 0 + 544 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4469905441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10089859 + ... + 10090301.

It is an arithmetic number, because the mean of its divisors is an integer number (24181794).

Almost surely, 2^4469905440 is an apocalyptic number.

4469905440 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 4469905440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446535008).

4469905440 is an abundant number, since it is smaller than the sum of its proper divisors (16423164576).

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

4469905440 is a wasteful number, since it uses less digits than its factorization.

4469905440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4469905440 is about 66857.3514282461. The cubic root of 4469905440 is about 1647.2750173073.

It can be divided in two parts, 4469 and 905440, that added together give a palindrome (909909).

The spelling of 4469905440 in words is "four billion, four hundred sixty-nine million, nine hundred five thousand, four hundred forty".