4101652800 has 378 divisors, whose sum is σ = 16961281038. Its totient is φ = 937359360.

The previous prime is 4101652799. The next prime is 4101652817. The reversal of 4101652800 is 82561014.

4101652800 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 652 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 484352064 + 3617300736 = 22008^2 + 60144^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 702694 + ... + 708506.

Almost surely, 2^4101652800 is an apocalyptic number.

4101652800 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 4101652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8480640519).

4101652800 is an abundant number, since it is smaller than the sum of its proper divisors (12859628238).

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

4101652800 is a wasteful number, since it uses less digits than its factorization.

4101652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5830 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 4101652800 is about 64044.1472735800. The cubic root of 4101652800 is about 1600.7357033277.

The spelling of 4101652800 in words is "four billion, one hundred one million, six hundred fifty-two thousand, eight hundred".