4141568640 has 192 divisors, whose sum is σ = 14511278880. Its totient is φ = 1003960320.

The previous prime is 4141568633. The next prime is 4141568647. The reversal of 4141568640 is 468651414.

4141568640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4141568633) and next prime (4141568647).

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4141568647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223407 + ... + 241233.

Almost surely, 2^4141568640 is an apocalyptic number.

4141568640 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 4141568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7255639440).

4141568640 is an abundant number, since it is smaller than the sum of its proper divisors (10369710240).

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

4141568640 is a wasteful number, since it uses less digits than its factorization.

4141568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 4141568640 is about 64355.0203169885. The cubic root of 4141568640 is about 1605.9115482655.

The spelling of 4141568640 in words is "four billion, one hundred forty-one million, five hundred sixty-eight thousand, six hundred forty".