41526106944 has 224 divisors, whose sum is σ = 132631403520. Its totient is φ = 11201421312.

The previous prime is 41526106943. The next prime is 41526106949. The reversal of 41526106944 is 44960162514.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 41526106896 and 41526106905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41526106943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7836904 + ... + 7842200.

It is an arithmetic number, because the mean of its divisors is an integer number (592104480).

Almost surely, 2^41526106944 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 41526106944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66315701760).

41526106944 is an abundant number, since it is smaller than the sum of its proper divisors (91105296576).

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

41526106944 is a wasteful number, since it uses less digits than its factorization.

41526106944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5645 (or 5635 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 41526106944 in words is "forty-one billion, five hundred twenty-six million, one hundred six thousand, nine hundred forty-four".