4464500313240 has 768 divisors, whose sum is σ = 16382461455360. Its totient is φ = 1045094400000.

The previous prime is 4464500313239. The next prime is 4464500313293. The reversal of 4464500313240 is 423130054644.

4464500313240 is a `hidden beast` number, since 4 + 4 + 645 + 0 + 0 + 3 + 1 + 3 + 2 + 4 + 0 = 666.

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 = 4464500313195 and 4464500313204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10310624064 + ... + 10310624496.

It is an arithmetic number, because the mean of its divisors is an integer number (21331330020).

Almost surely, 2^{4464500313240} is an apocalyptic number.

4464500313240 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 4464500313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8191230727680).

4464500313240 is an abundant number, since it is smaller than the sum of its proper divisors (11917961142120).

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

4464500313240 is a wasteful number, since it uses less digits than its factorization.

4464500313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 4464500313240 its reverse (423130054644), we get a palindrome (4887630367884).

The spelling of 4464500313240 in words is "four trillion, four hundred sixty-four billion, five hundred million, three hundred thirteen thousand, two hundred forty".