5305506440 has 64 divisors (see below), whose sum is σ = 12868254000. Its totient is φ = 1957036032.

The previous prime is 5305506431. The next prime is 5305506457. The reversal of 5305506440 is 446055035.

It can be written as a sum of positive squares in 8 ways, for example, as 474978436 + 4830528004 = 21794^2 + 69502^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5305506397 and 5305506406.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595136 + ... + 603984.

Almost surely, 2^5305506440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305506440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434127000).

5305506440 is an abundant number, since it is smaller than the sum of its proper divisors (7562747560).

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

5305506440 is a wasteful number, since it uses less digits than its factorization.

5305506440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10022 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 5305506440 is about 72838.9074602303. The cubic root of 5305506440 is about 1744.1170005744.

The spelling of 5305506440 in words is "five billion, three hundred five million, five hundred six thousand, four hundred forty".