41775904128 has 384 divisors, whose sum is σ = 133463393280. Its totient is φ = 11537842176.

The previous prime is 41775904123. The next prime is 41775904153. The reversal of 41775904128 is 82140957714.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41775904123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85781901 + ... + 85782387.

It is an arithmetic number, because the mean of its divisors is an integer number (347560920).

Almost surely, 2^41775904128 is an apocalyptic number.

41775904128 is a gapful number since it is divisible by the number (48) 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 41775904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66731696640).

41775904128 is an abundant number, since it is smaller than the sum of its proper divisors (91687489152).

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

41775904128 is a wasteful number, since it uses less digits than its factorization.

41775904128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The spelling of 41775904128 in words is "forty-one billion, seven hundred seventy-five million, nine hundred four thousand, one hundred twenty-eight".