45315312240 has 160 divisors (see below), whose sum is σ = 153327686400. Its totient is φ = 10979829760.

The previous prime is 45315312191. The next prime is 45315312269. The reversal of 45315312240 is 4221351354.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45315312198 and 45315312207.

It is a congruent number.

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, 7439116 + ... + 7445204.

It is an arithmetic number, because the mean of its divisors is an integer number (958298040).

Almost surely, 2^45315312240 is an apocalyptic number.

45315312240 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 45315312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663843200).

45315312240 is an abundant number, since it is smaller than the sum of its proper divisors (108012374160).

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

45315312240 is a wasteful number, since it uses less digits than its factorization.

45315312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8935 (or 8929 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 45315312240 its reverse (4221351354), we get a palindrome (49536663594).

The spelling of 45315312240 in words is "forty-five billion, three hundred fifteen million, three hundred twelve thousand, two hundred forty".