4101099724800 has 1176 divisors, whose sum is σ = 16428893173644. Its totient is φ = 1009023713280.

The previous prime is 4101099724789. The next prime is 4101099724807. The reversal of 4101099724800 is 84279901014.

It is a happy number.

4101099724800 is a `hidden beast` number, since 4 + 1 + 0 + 10 + 99 + 72 + 480 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20570443776 + 4080529281024 = 143424^2 + 2020032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4101099724807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1940888544 + ... + 1940890656.

Almost surely, 2^{4101099724800} is an apocalyptic number.

4101099724800 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 4101099724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214446586822).

4101099724800 is an abundant number, since it is smaller than the sum of its proper divisors (12327793448844).

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

4101099724800 is an equidigital number, since it uses as much as digits as its factorization.

4101099724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 4101099724800 in words is "four trillion, one hundred one billion, ninety-nine million, seven hundred twenty-four thousand, eight hundred".