41503695744 has 128 divisors (see below), whose sum is σ = 127293062400. Its totient is φ = 11735875584.

The previous prime is 41503695719. The next prime is 41503695757. The reversal of 41503695744 is 44759630514.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 41503695693 and 41503695702.

It is a congruent 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, 181147 + ... + 340325.

It is an arithmetic number, because the mean of its divisors is an integer number (994477050).

Almost surely, 2^41503695744 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 41503695744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63646531200).

41503695744 is an abundant number, since it is smaller than the sum of its proper divisors (85789366656).

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

41503695744 is a wasteful number, since it uses less digits than its factorization.

41503695744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159300 (or 159288 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 41503695744 in words is "forty-one billion, five hundred three million, six hundred ninety-five thousand, seven hundred forty-four".