41754820608 has 120 divisors (see below), whose sum is σ = 120638553750. Its totient is φ = 13916700672.

The previous prime is 41754820567. The next prime is 41754820661. The reversal of 41754820608 is 80602845714.

41754820608 is a `hidden beast` number, since 4 + 17 + 5 + 4 + 8 + 20 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41733586944 + 21233664 = 204288^2 + 4608^2 .

It is a super-2 number, since 2×41754820608² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4714168 + ... + 4723016.

Almost surely, 2^41754820608 is an apocalyptic number.

41754820608 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 41754820608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60319276875).

41754820608 is an abundant number, since it is smaller than the sum of its proper divisors (78883733142).

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

41754820608 is an frugal number, since it uses more digits than its factorization.

41754820608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8854 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 41754820608 in words is "forty-one billion, seven hundred fifty-four million, eight hundred twenty thousand, six hundred eight".