4641810840 has 256 divisors, whose sum is σ = 15918336000. Its totient is φ = 1202688000.

The previous prime is 4641810829. The next prime is 4641810841. The reversal of 4641810840 is 480181464.

4641810840 is a `hidden beast` number, since 4 + 641 + 8 + 1 + 0 + 8 + 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 = 4641810795 and 4641810804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4641810841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6180465 + ... + 6181215.

It is an arithmetic number, because the mean of its divisors is an integer number (62181000).

Almost surely, 2^4641810840 is an apocalyptic number.

4641810840 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 4641810840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959168000).

4641810840 is an abundant number, since it is smaller than the sum of its proper divisors (11276525160).

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

4641810840 is a wasteful number, since it uses less digits than its factorization.

4641810840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 4641810840 is about 68130.8361903771. The cubic root of 4641810840 is about 1668.1271317623.

The spelling of 4641810840 in words is "four billion, six hundred forty-one million, eight hundred ten thousand, eight hundred forty".