4024664085100 has 72 divisors (see below), whose sum is σ = 8800364240640. Its totient is φ = 1597581299520.

The previous prime is 4024664085097. The next prime is 4024664085107. The reversal of 4024664085100 is 15804664204.

It is not an unprimeable number, because it can be changed into a prime (4024664085107) 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, 8486457 + ... + 8948143.

It is an arithmetic number, because the mean of its divisors is an integer number (122227281120).

Almost surely, 2^{4024664085100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024664085100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400182120320).

4024664085100 is an abundant number, since it is smaller than the sum of its proper divisors (4775700155540).

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

4024664085100 is a wasteful number, since it uses less digits than its factorization.

4024664085100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462367 (or 462360 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 4024664085100 in words is "four trillion, twenty-four billion, six hundred sixty-four million, eighty-five thousand, one hundred".