41640961032 has 512 divisors, whose sum is σ = 145566720000. Its totient is φ = 10857369600.

The previous prime is 41640961031. The next prime is 41640961057. The reversal of 41640961032 is 23016904614.

41640961032 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 0 + 9 + 610 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41640961031) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 22255057 + ... + 22256927.

It is an arithmetic number, because the mean of its divisors is an integer number (284310000).

Almost surely, 2^41640961032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41640961032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72783360000).

41640961032 is an abundant number, since it is smaller than the sum of its proper divisors (103925758968).

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

41640961032 is a wasteful number, since it uses less digits than its factorization.

41640961032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 41640961032 in words is "forty-one billion, six hundred forty million, nine hundred sixty-one thousand, thirty-two".