4165220637600 has 288 divisors, whose sum is σ = 14824518295104. Its totient is φ = 1007415705600.

The previous prime is 4165220637521. The next prime is 4165220637607. The reversal of 4165220637600 is 67360225614.

It is not an unprimeable number, because it can be changed into a prime (4165220637607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11249014 + ... + 11613386.

It is an arithmetic number, because the mean of its divisors is an integer number (51474021858).

Almost surely, 2^{4165220637600} is an apocalyptic number.

4165220637600 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 4165220637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412259147552).

4165220637600 is an abundant number, since it is smaller than the sum of its proper divisors (10659297657504).

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

4165220637600 is a wasteful number, since it uses less digits than its factorization.

4165220637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364840 (or 364827 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 4165220637600 in words is "four trillion, one hundred sixty-five billion, two hundred twenty million, six hundred thirty-seven thousand, six hundred".