41264726272 has 144 divisors (see below), whose sum is σ = 102971094912. Its totient is φ = 16033628160.

The previous prime is 41264726267. The next prime is 41264726311. The reversal of 41264726272 is 27262746214.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7823028 + ... + 7828300.

It is an arithmetic number, because the mean of its divisors is an integer number (715077048).

Almost surely, 2^41264726272 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 41264726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51485547456).

41264726272 is an abundant number, since it is smaller than the sum of its proper divisors (61706368640).

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

41264726272 is a wasteful number, since it uses less digits than its factorization.

41264726272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5704 (or 5690 counting only the distinct ones).

The product of its digits is 451584, while the sum is 43.

The spelling of 41264726272 in words is "forty-one billion, two hundred sixty-four million, seven hundred twenty-six thousand, two hundred seventy-two".