4681463040 has 504 divisors, whose sum is σ = 17492940360. Its totient is φ = 1198374912.

The previous prime is 4681463021. The next prime is 4681463041. The reversal of 4681463040 is 403641864.

4681463040 is a `hidden beast` number, since 4 + 6 + 8 + 14 + 630 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1380271104 + 3301191936 = 37152^2 + 57456^2 .

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 = 4681462986 and 4681463004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4681463041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27060394 + ... + 27060566.

It is an arithmetic number, because the mean of its divisors is an integer number (34708215).

Almost surely, 2^4681463040 is an apocalyptic number.

4681463040 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 4681463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8746470180).

4681463040 is an abundant number, since it is smaller than the sum of its proper divisors (12811477320).

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

4681463040 is an equidigital number, since it uses as much as digits as its factorization.

4681463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4681463040 is about 68421.2177617441. The cubic root of 4681463040 is about 1672.8636061189.

The spelling of 4681463040 in words is "four billion, six hundred eighty-one million, four hundred sixty-three thousand, forty".