41758945920 has 384 divisors, whose sum is σ = 150931207440. Its totient is φ = 10627448832.

The previous prime is 41758945861. The next prime is 41758945927. The reversal of 41758945920 is 2954985714.

It is a happy number.

41758945920 is a `hidden beast` number, since 4 + 1 + 7 + 589 + 4 + 59 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22134298176 + 19624647744 = 148776^2 + 140088^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41758945927) 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, 11293512 + ... + 11297208.

Almost surely, 2^41758945920 is an apocalyptic number.

41758945920 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 41758945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75465603720).

41758945920 is an abundant number, since it is smaller than the sum of its proper divisors (109172261520).

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

41758945920 is a wasteful number, since it uses less digits than its factorization.

41758945920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3812 (or 3797 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

It can be divided in two parts, 4175894 and 5920, that added together give a palindrome (4181814).

The spelling of 41758945920 in words is "forty-one billion, seven hundred fifty-eight million, nine hundred forty-five thousand, nine hundred twenty".