4408991531568 has 480 divisors, whose sum is σ = 14193574886400. Its totient is φ = 1266403590144.

The previous prime is 4408991531551. The next prime is 4408991531597. The reversal of 4408991531568 is 8651351998044.

4408991531568 is a `hidden beast` number, since 4 + 4 + 0 + 8 + 9 + 91 + 531 + 5 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 824570271 + ... + 824575617.

It is an arithmetic number, because the mean of its divisors is an integer number (29569947680).

Almost surely, 2^{4408991531568} is an apocalyptic number.

4408991531568 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 4408991531568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7096787443200).

4408991531568 is an abundant number, since it is smaller than the sum of its proper divisors (9784583354832).

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

4408991531568 is a wasteful number, since it uses less digits than its factorization.

4408991531568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5729 (or 5720 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 4408991531568 in words is "four trillion, four hundred eight billion, nine hundred ninety-one million, five hundred thirty-one thousand, five hundred sixty-eight".