4108268640 has 192 divisors, whose sum is σ = 14816825856. Its totient is φ = 937316352.

The previous prime is 4108268639. The next prime is 4108268641. The reversal of 4108268640 is 468628014.

It is an interprime number because it is at equal distance from previous prime (4108268639) and next prime (4108268641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108268641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3201439 + ... + 3202721.

It is an arithmetic number, because the mean of its divisors is an integer number (77170968).

Almost surely, 2^4108268640 is an apocalyptic number.

4108268640 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 4108268640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408412928).

4108268640 is an abundant number, since it is smaller than the sum of its proper divisors (10708557216).

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

4108268640 is a wasteful number, since it uses less digits than its factorization.

4108268640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2261 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 4108268640 is about 64095.7770839858. Note that the first 3 decimals coincide. The cubic root of 4108268640 is about 1601.5958868532.

The spelling of 4108268640 in words is "four billion, one hundred eight million, two hundred sixty-eight thousand, six hundred forty".