41125313020 has 144 divisors (see below), whose sum is σ = 102655486080. Its totient is φ = 13774858240.

The previous prime is 41125312993. The next prime is 41125313023. The reversal of 41125313020 is 2031352114.

It is a happy number.

It is a super-3 number, since 3×41125313020³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 41125312982 and 41125313000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41125313023) 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 47 ways as a sum of consecutive naturals, for example, 1922946 + ... + 1944214.

It is an arithmetic number, because the mean of its divisors is an integer number (712885320).

Almost surely, 2^41125313020 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 41125313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51327743040).

41125313020 is an abundant number, since it is smaller than the sum of its proper divisors (61530173060).

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

41125313020 is a wasteful number, since it uses less digits than its factorization.

41125313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21364 (or 21351 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 41125313020 its reverse (2031352114), we get a palindrome (43156665134).

The spelling of 41125313020 in words is "forty-one billion, one hundred twenty-five million, three hundred thirteen thousand, twenty".