4105664024000 has 448 divisors, whose sum is σ = 12722233006080. Its totient is φ = 1275079680000.

The previous prime is 4105664023997. The next prime is 4105664024071. The reversal of 4105664024000 is 4204665014.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173084141 + ... + 173107859.

Almost surely, 2^{4105664024000} is an apocalyptic number.

4105664024000 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 4105664024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361116503040).

4105664024000 is an abundant number, since it is smaller than the sum of its proper divisors (8616568982080).

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

4105664024000 is a wasteful number, since it uses less digits than its factorization.

4105664024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24045 (or 24025 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 4105664024000 its reverse (4204665014), we get a palindrome (4109868689014).

The spelling of 4105664024000 in words is "four trillion, one hundred five billion, six hundred sixty-four million, twenty-four thousand".