41944620954432 has 448 divisors, whose sum is σ = 132070461304320. Its totient is φ = 11494812155904.

The previous prime is 41944620954389. The next prime is 41944620954473. The reversal of 41944620954432 is 23445902644914.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16027748388 + ... + 16027751004.

It is an arithmetic number, because the mean of its divisors is an integer number (294800136840).

Almost surely, 2^{41944620954432} is an apocalyptic number.

41944620954432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41944620954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66035230652160).

41944620954432 is an abundant number, since it is smaller than the sum of its proper divisors (90125840349888).

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

41944620954432 is a wasteful number, since it uses less digits than its factorization.

41944620954432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5218 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 41944620954432 in words is "forty-one trillion, nine hundred forty-four billion, six hundred twenty million, nine hundred fifty-four thousand, four hundred thirty-two".