4531362440 has 128 divisors (see below), whose sum is σ = 11740032000. Its totient is φ = 1556755200.

The previous prime is 4531362431. The next prime is 4531362467. The reversal of 4531362440 is 442631354.

It is a junction number, because it is equal to n+sod(n) for n = 4531362397 and 4531362406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5274731 + ... + 5275589.

It is an arithmetic number, because the mean of its divisors is an integer number (91719000).

Almost surely, 2^4531362440 is an apocalyptic number.

4531362440 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 4531362440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870016000).

4531362440 is an abundant number, since it is smaller than the sum of its proper divisors (7208669560).

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

4531362440 is a wasteful number, since it uses less digits than its factorization.

4531362440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4531362440 is about 67315.3952673532. The cubic root of 4531362440 is about 1654.7901742915.

Adding to 4531362440 its reverse (442631354), we get a palindrome (4973993794).

The spelling of 4531362440 in words is "four billion, five hundred thirty-one million, three hundred sixty-two thousand, four hundred forty".