41125020872100 has 288 divisors, whose sum is σ = 130823125117440. Its totient is φ = 9891818496000.

The previous prime is 41125020872081. The next prime is 41125020872101. The reversal of 41125020872100 is 127802052114.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (41125020872101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 241299915 + ... + 241470285.

Almost surely, 2^{41125020872100} 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 41125020872100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65411562558720).

41125020872100 is an abundant number, since it is smaller than the sum of its proper divisors (89698104245340).

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

41125020872100 is a wasteful number, since it uses less digits than its factorization.

41125020872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170971 (or 170964 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 41125020872100 in words is "forty-one trillion, one hundred twenty-five billion, twenty million, eight hundred seventy-two thousand, one hundred".