41944065408000 has 3520 divisors, whose sum is σ = 187228735389696. Its totient is φ = 9137111040000.

The previous prime is 41944065407989. The next prime is 41944065408029. The reversal of 41944065408000 is 80456044914.

41944065408000 is a `hidden beast` number, since 4 + 194 + 406 + 54 + 0 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 231735167910 + ... + 231735168090.

Almost surely, 2^{41944065408000} is an apocalyptic number.

41944065408000 is a gapful number since it is divisible by the number (40) 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 41944065408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93614367694848).

41944065408000 is an abundant number, since it is smaller than the sum of its proper divisors (145284669981696).

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

41944065408000 is a wasteful number, since it uses less digits than its factorization.

41944065408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 41944065408000 in words is "forty-one trillion, nine hundred forty-four billion, sixty-five million, four hundred eight thousand".