41553120 has 192 divisors, whose sum is σ = 152409600. Its totient is φ = 9320448.

The previous prime is 41553119. The next prime is 41553163. The reversal of 41553120 is 2135514.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 278806 + ... + 278954.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 2^41553120 is an apocalyptic number.

41553120 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 41553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

41553120 is an abundant number, since it is smaller than the sum of its proper divisors (110856480).

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

41553120 is a wasteful number, since it uses less digits than its factorization.

41553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 41553120 is about 6446.1709564671. The cubic root of 41553120 is about 346.3654352347.

Adding to 41553120 its reverse (2135514), we get a palindrome (43688634).

It can be divided in two parts, 415 and 53120, that added together give a palindrome (53535).

The spelling of 41553120 in words is "forty-one million, five hundred fifty-three thousand, one hundred twenty".