41151120 has 80 divisors (see below), whose sum is σ = 128235840. Its totient is φ = 10916352.

The previous prime is 41151107. The next prime is 41151127. The reversal of 41151120 is 2115114.

It is a happy number.

41151120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 41151120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41151127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66171 + ... + 66789.

It is an arithmetic number, because the mean of its divisors is an integer number (1602948).

Almost surely, 2^41151120 is an apocalyptic number.

41151120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64117920).

41151120 is an abundant number, since it is smaller than the sum of its proper divisors (87084720).

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

41151120 is a wasteful number, since it uses less digits than its factorization.

41151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 41151120 is about 6414.9138731553. The cubic root of 41151120 is about 345.2448587302.

Adding to 41151120 its reverse (2115114), we get a palindrome (43266234).

The spelling of 41151120 in words is "forty-one million, one hundred fifty-one thousand, one hundred twenty".