41742319104 has 240 divisors, whose sum is σ = 124603118640. Its totient is φ = 13443563520.

The previous prime is 41742319079. The next prime is 41742319109. The reversal of 41742319104 is 40191324714.

41742319104 is a `hidden beast` number, since 41 + 7 + 423 + 191 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41742319109) 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 23 ways as a sum of consecutive naturals, for example, 20592139 + ... + 20594165.

It is an arithmetic number, because the mean of its divisors is an integer number (519179661).

Almost surely, 2^41742319104 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 41742319104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62301559320).

41742319104 is an abundant number, since it is smaller than the sum of its proper divisors (82860799536).

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

41742319104 is a wasteful number, since it uses less digits than its factorization.

41742319104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41742319104 in words is "forty-one billion, seven hundred forty-two million, three hundred nineteen thousand, one hundred four".