41531103903744 has 2592 divisors, whose sum is σ = 164473635231360. Its totient is φ = 10359310123008.

The previous prime is 41531103903733. The next prime is 41531103903781. The reversal of 41531103903744 is 44730930113514.

41531103903744 is a `hidden beast` number, since 4 + 1 + 531 + 10 + 39 + 0 + 3 + 74 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a self number, because there is not a number n which added to its sum of digits gives 41531103903744.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 466641616852 + ... + 466641616940.

It is an arithmetic number, because the mean of its divisors is an integer number (63454334580).

Almost surely, 2^{41531103903744} 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 41531103903744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82236817615680).

41531103903744 is an abundant number, since it is smaller than the sum of its proper divisors (122942531327616).

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

41531103903744 is an frugal number, since it uses more digits than its factorization.

41531103903744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 41531103903744 in words is "forty-one trillion, five hundred thirty-one billion, one hundred three million, nine hundred three thousand, seven hundred forty-four".