41479713792 has 330 divisors, whose sum is σ = 136183761714. Its totient is φ = 12566568960.

The previous prime is 41479713767. The next prime is 41479713799. The reversal of 41479713792 is 29731797414.

It is a happy number.

41479713792 is a `hidden beast` number, since 414 + 7 + 9 + 7 + 137 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38579245056 + 2900468736 = 196416^2 + 53856^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41479713799) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 10034158 + ... + 10038290.

Almost surely, 2^41479713792 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 41479713792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68091880857).

41479713792 is an abundant number, since it is smaller than the sum of its proper divisors (94704047922).

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

41479713792 is a wasteful number, since it uses less digits than its factorization.

41479713792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4149 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The spelling of 41479713792 in words is "forty-one billion, four hundred seventy-nine million, seven hundred thirteen thousand, seven hundred ninety-two".