4513148640 has 1152 divisors, whose sum is σ = 21556813824. Its totient is φ = 829440000.

The previous prime is 4513148611. The next prime is 4513148683. The reversal of 4513148640 is 468413154.

4513148640 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 1 + 4 + 8 + 640 = 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 = 4513148595 and 4513148604.

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, 44684590 + ... + 44684690.

It is an arithmetic number, because the mean of its divisors is an integer number (18712512).

Almost surely, 2^4513148640 is an apocalyptic number.

4513148640 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 4513148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10778406912).

4513148640 is an abundant number, since it is smaller than the sum of its proper divisors (17043665184).

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

4513148640 is a wasteful number, since it uses less digits than its factorization.

4513148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 4513148640 is about 67179.9720154750. The cubic root of 4513148640 is about 1652.5700553854.

It can be divided in two parts, 451314 and 8640, that added together give a palindrome (459954).

The spelling of 4513148640 in words is "four billion, five hundred thirteen million, one hundred forty-eight thousand, six hundred forty".