41097964032 has 480 divisors, whose sum is σ = 131855370240. Its totient is φ = 12791955456.

The previous prime is 41097964021. The next prime is 41097964073. The reversal of 41097964032 is 23046979014.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 323605953 + ... + 323606079.

It is an arithmetic number, because the mean of its divisors is an integer number (274698688).

Almost surely, 2^41097964032 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 41097964032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65927685120).

41097964032 is an abundant number, since it is smaller than the sum of its proper divisors (90757406208).

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

41097964032 is an frugal number, since it uses more digits than its factorization.

41097964032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 41097964032 in words is "forty-one billion, ninety-seven million, nine hundred sixty-four thousand, thirty-two".