41151123200 has 216 divisors, whose sum is σ = 111409119360. Its totient is φ = 14924492800.

The previous prime is 41151123179. The next prime is 41151123227. The reversal of 41151123200 is 232115114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46393157 + ... + 46394043.

It is an arithmetic number, because the mean of its divisors is an integer number (515782960).

Almost surely, 2^41151123200 is an apocalyptic number.

41151123200 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 41151123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55704559680).

41151123200 is an abundant number, since it is smaller than the sum of its proper divisors (70257996160).

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

41151123200 is a wasteful number, since it uses less digits than its factorization.

41151123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 41151123200 its reverse (232115114), we get a palindrome (41383238314).

The spelling of 41151123200 in words is "forty-one billion, one hundred fifty-one million, one hundred twenty-three thousand, two hundred".