41001032128 has 56 divisors (see below), whose sum is σ = 93035628000. Its totient is φ = 17562206208.

The previous prime is 41001032117. The next prime is 41001032129. The reversal of 41001032128 is 82123010014.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×41001032128² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41001032099 and 41001032108.

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, 822048 + ... + 870496.

It is an arithmetic number, because the mean of its divisors is an integer number (1661350500).

Almost surely, 2^41001032128 is an apocalyptic number.

It is an amenable number.

41001032128 is an abundant number, since it is smaller than the sum of its proper divisors (52034595872).

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

41001032128 is a wasteful number, since it uses less digits than its factorization.

41001032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50357 (or 50347 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The spelling of 41001032128 in words is "forty-one billion, one million, thirty-two thousand, one hundred twenty-eight".