41749929374880 has 384 divisors, whose sum is σ = 134271638323200. Its totient is φ = 10902393815040.

The previous prime is 41749929374873. The next prime is 41749929374893. The reversal of 41749929374880 is 8847392994714.

41749929374880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4538524521 + ... + 4538533719.

It is an arithmetic number, because the mean of its divisors is an integer number (349665724800).

Almost surely, 2^{41749929374880} is an apocalyptic number.

41749929374880 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 41749929374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67135819161600).

41749929374880 is an abundant number, since it is smaller than the sum of its proper divisors (92521708948320).

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

41749929374880 is a wasteful number, since it uses less digits than its factorization.

41749929374880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10324 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 75.

The spelling of 41749929374880 in words is "forty-one trillion, seven hundred forty-nine billion, nine hundred twenty-nine million, three hundred seventy-four thousand, eight hundred eighty".