41033101120 has 224 divisors, whose sum is σ = 108452960640. Its totient is φ = 14663024640.

The previous prime is 41033101111. The next prime is 41033101133. The reversal of 41033101120 is 2110133014.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 41033101094 and 41033101103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71114272 + ... + 71114848.

Almost surely, 2^41033101120 is an apocalyptic number.

41033101120 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 41033101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54226480320).

41033101120 is an abundant number, since it is smaller than the sum of its proper divisors (67419859520).

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

41033101120 is a wasteful number, since it uses less digits than its factorization.

41033101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 41033101120 its reverse (2110133014), we get a palindrome (43143234134).

The spelling of 41033101120 in words is "forty-one billion, thirty-three million, one hundred one thousand, one hundred twenty".