41468086272 has 96 divisors (see below), whose sum is σ = 110743869600. Its totient is φ = 13799030784.

The previous prime is 41468086201. The next prime is 41468086277. The reversal of 41468086272 is 27268086414.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41468086277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3785379 + ... + 3796317.

It is an arithmetic number, because the mean of its divisors is an integer number (1153581975).

Almost surely, 2^41468086272 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 41468086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55371934800).

41468086272 is an abundant number, since it is smaller than the sum of its proper divisors (69275783328).

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

41468086272 is a wasteful number, since it uses less digits than its factorization.

41468086272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11581 (or 11561 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The spelling of 41468086272 in words is "forty-one billion, four hundred sixty-eight million, eighty-six thousand, two hundred seventy-two".