4100536800 has 216 divisors, whose sum is σ = 14523523560. Its totient is φ = 1088640000.

The previous prime is 4100536787. The next prime is 4100536819. The reversal of 4100536800 is 86350014.

4100536800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1806066 + ... + 1808334.

It is an arithmetic number, because the mean of its divisors is an integer number (67238535).

Almost surely, 2^4100536800 is an apocalyptic number.

4100536800 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 4100536800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7261761780).

4100536800 is an abundant number, since it is smaller than the sum of its proper divisors (10422986760).

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

4100536800 is a wasteful number, since it uses less digits than its factorization.

4100536800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4100536800 is about 64035.4339409049. The cubic root of 4100536800 is about 1600.5905112002.

Adding to 4100536800 its reverse (86350014), we get a palindrome (4186886814).

The spelling of 4100536800 in words is "four billion, one hundred million, five hundred thirty-six thousand, eight hundred".