4681074240 has 336 divisors, whose sum is σ = 17159093952. Its totient is φ = 1213802496.

The previous prime is 4681074239. The next prime is 4681074259. The reversal of 4681074240 is 424701864.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 4681074195 and 4681074204.

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, 2876307 + ... + 2877933.

It is an arithmetic number, because the mean of its divisors is an integer number (51068732).

Almost surely, 2^4681074240 is an apocalyptic number.

4681074240 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 4681074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8579546976).

4681074240 is an abundant number, since it is smaller than the sum of its proper divisors (12478019712).

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

4681074240 is a wasteful number, since it uses less digits than its factorization.

4681074240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1674 counting only the distinct ones).

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

The square root of 4681074240 is about 68418.3764788379. The cubic root of 4681074240 is about 1672.8172938606.

The spelling of 4681074240 in words is "four billion, six hundred eighty-one million, seventy-four thousand, two hundred forty".