4100552756100 has 252 divisors, whose sum is σ = 13801244567460. Its totient is φ = 1055773958400.

The previous prime is 4100552756081. The next prime is 4100552756107. The reversal of 4100552756100 is 16572550014.

4100552756100 is a `hidden beast` number, since 4 + 10 + 0 + 5 + 5 + 27 + 5 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 27001719684 + 4073551036416 = 164322^2 + 2018304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4100552756107) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1144290 + ... + 3083910.

Almost surely, 2^{4100552756100} 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 4100552756100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6900622283730).

4100552756100 is an abundant number, since it is smaller than the sum of its proper divisors (9700691811360).

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

4100552756100 is a wasteful number, since it uses less digits than its factorization.

4100552756100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1939682 (or 1939660 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 4100552756100 in words is "four trillion, one hundred billion, five hundred fifty-two million, seven hundred fifty-six thousand, one hundred".