4641525540 has 144 divisors (see below), whose sum is σ = 14459543280. Its totient is φ = 1204469760.

The previous prime is 4641525517. The next prime is 4641525547. The reversal of 4641525540 is 455251464.

4641525540 is a `hidden beast` number, since 4 + 64 + 1 + 52 + 5 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 464230116 + 4177295424 = 21546^2 + 64632^2 .

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 = 4641525495 and 4641525504.

It is not an unprimeable number, because it can be changed into a prime (4641525547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4995796 + ... + 4996724.

It is an arithmetic number, because the mean of its divisors is an integer number (100413495).

Almost surely, 2^4641525540 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 4641525540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229771640).

4641525540 is an abundant number, since it is smaller than the sum of its proper divisors (9818017740).

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

4641525540 is a wasteful number, since it uses less digits than its factorization.

4641525540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1662 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 4641525540 is about 68128.7423926202. The cubic root of 4641525540 is about 1668.0929549839.

The spelling of 4641525540 in words is "four billion, six hundred forty-one million, five hundred twenty-five thousand, five hundred forty".