4641027840 has 432 divisors, whose sum is σ = 17088559488. Its totient is φ = 1205342208.

The previous prime is 4641027827. The next prime is 4641027877. The reversal of 4641027840 is 487201464.

4641027840 is a `hidden beast` number, since 4 + 641 + 0 + 2 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4641027795 and 4641027804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13374547 + ... + 13374893.

Almost surely, 2^4641027840 is an apocalyptic number.

4641027840 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 4641027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8544279744).

4641027840 is an abundant number, since it is smaller than the sum of its proper divisors (12447531648).

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

4641027840 is an equidigital number, since it uses as much as digits as its factorization.

4641027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4641027840 is about 68125.0896513172. The cubic root of 4641027840 is about 1668.0333309421.

The spelling of 4641027840 in words is "four billion, six hundred forty-one million, twenty-seven thousand, eight hundred forty".