4101656000 has 112 divisors (see below), whose sum is σ = 10939393920. Its totient is φ = 1514419200.

The previous prime is 4101655969. The next prime is 4101656003. The reversal of 4101656000 is 6561014.

4101656000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101656003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84281 + ... + 123719.

It is an arithmetic number, because the mean of its divisors is an integer number (97673160).

Almost surely, 2^4101656000 is an apocalyptic number.

4101656000 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 4101656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469696960).

4101656000 is an abundant number, since it is smaller than the sum of its proper divisors (6837737920).

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

4101656000 is a wasteful number, since it uses less digits than its factorization.

4101656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39479 (or 39459 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 4101656000 is about 64044.1722563420. The cubic root of 4101656000 is about 1600.7361196113.

The spelling of 4101656000 in words is "four billion, one hundred one million, six hundred fifty-six thousand".