41001032120 has 32 divisors (see below), whose sum is σ = 92342769120. Its totient is φ = 16384333440.

The previous prime is 41001032117. The next prime is 41001032129. The reversal of 41001032120 is 2123010014.

41001032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41001032095 and 41001032104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41001032129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461132 + ... + 542811.

It is an arithmetic number, because the mean of its divisors is an integer number (2885711535).

Almost surely, 2^41001032120 is an apocalyptic number.

41001032120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001032120 is an abundant number, since it is smaller than the sum of its proper divisors (51341737000).

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

41001032120 is a wasteful number, since it uses less digits than its factorization.

41001032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004975 (or 1004971 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 41001032120 its reverse (2123010014), we get a palindrome (43124042134).

The spelling of 41001032120 in words is "forty-one billion, one million, thirty-two thousand, one hundred twenty".