4100211125010 has 288 divisors, whose sum is σ = 14392113810048. Its totient is φ = 786453857280.

The previous prime is 4100211124973. The next prime is 4100211125011. The reversal of 4100211125010 is 105211120014.

4100211125010 is a `hidden beast` number, since 410 + 0 + 2 + 1 + 1 + 1 + 250 + 1 + 0 = 666.

4100211125010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4100211125011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 579307 + ... + 2921646.

It is an arithmetic number, because the mean of its divisors is an integer number (49972617396).

Almost surely, 2^{4100211125010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100211125010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7196056905024).

4100211125010 is an abundant number, since it is smaller than the sum of its proper divisors (10291902685038).

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

4100211125010 is a wasteful number, since it uses less digits than its factorization.

4100211125010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501010 (or 3500994 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 4100211125010 its reverse (105211120014), we get a palindrome (4205422245024).

The spelling of 4100211125010 in words is "four trillion, one hundred billion, two hundred eleven million, one hundred twenty-five thousand, ten".