4681367040 has 480 divisors, whose sum is σ = 17994848256. Its totient is φ = 1015971840.

The previous prime is 4681367023. The next prime is 4681367063. The reversal of 4681367040 is 407631864.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 4681367040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88327654 + ... + 88327706.

Almost surely, 2^4681367040 is an apocalyptic number.

4681367040 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 4681367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8997424128).

4681367040 is an abundant number, since it is smaller than the sum of its proper divisors (13313481216).

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

4681367040 is an equidigital number, since it uses as much as digits as its factorization.

4681367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4681367040 is about 68420.5162213791. The cubic root of 4681367040 is about 1672.8521712318.

The spelling of 4681367040 in words is "four billion, six hundred eighty-one million, three hundred sixty-seven thousand, forty".