41975938368 has 896 divisors, whose sum is σ = 160219136000. Its totient is φ = 10480803840.

The previous prime is 41975938363. The next prime is 41975938409. The reversal of 41975938368 is 86383957914.

41975938368 is a `hidden beast` number, since 4 + 1 + 9 + 7 + 593 + 8 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41975938363) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385100298 + ... + 385100406.

It is an arithmetic number, because the mean of its divisors is an integer number (178816000).

Almost surely, 2^41975938368 is an apocalyptic number.

41975938368 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 41975938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80109568000).

41975938368 is an abundant number, since it is smaller than the sum of its proper divisors (118243197632).

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

41975938368 is a wasteful number, since it uses less digits than its factorization.

41975938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 244 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 41975938368 in words is "forty-one billion, nine hundred seventy-five million, nine hundred thirty-eight thousand, three hundred sixty-eight".