4827801540100 has 576 divisors, whose sum is σ = 14029102080000. Its totient is φ = 1396793548800.

The previous prime is 4827801540053. The next prime is 4827801540109. The reversal of 4827801540100 is 10451087284.

It is not an unprimeable number, because it can be changed into a prime (4827801540109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1583403376 + ... + 1583406424.

It is an arithmetic number, because the mean of its divisors is an integer number (24356080000).

Almost surely, 2^{4827801540100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4827801540100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014551040000).

4827801540100 is an abundant number, since it is smaller than the sum of its proper divisors (9201300539900).

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

4827801540100 is a wasteful number, since it uses less digits than its factorization.

4827801540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3316 (or 3309 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

The spelling of 4827801540100 in words is "four trillion, eight hundred twenty-seven billion, eight hundred one million, five hundred forty thousand, one hundred".