4291441901568 has 360 divisors, whose sum is σ = 12952353662976. Its totient is φ = 1367536435200.

The previous prime is 4291441901567. The next prime is 4291441901581. The reversal of 4291441901568 is 8651091441924.

4291441901568 is a `hidden beast` number, since 4 + 29 + 1 + 44 + 19 + 0 + 1 + 568 = 666.

It is not an unprimeable number, because it can be changed into a prime (4291441901561) 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, 379398633 + ... + 379409943.

Almost surely, 2^{4291441901568} is an apocalyptic number.

4291441901568 is a gapful number since it is divisible by the number (48) 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 4291441901568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6476176831488).

4291441901568 is an abundant number, since it is smaller than the sum of its proper divisors (8660911761408).

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

4291441901568 is a wasteful number, since it uses less digits than its factorization.

4291441901568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11459 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 4291441901568 in words is "four trillion, two hundred ninety-one billion, four hundred forty-one million, nine hundred one thousand, five hundred sixty-eight".