41750240751648 has 1152 divisors, whose sum is σ = 152534271052800. Its totient is φ = 11044035072000.

The previous prime is 41750240751631. The next prime is 41750240751707. The reversal of 41750240751648 is 84615704205714.

It is a happy number.

41750240751648 is a `hidden beast` number, since 4 + 1 + 7 + 502 + 4 + 0 + 75 + 1 + 64 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41750240751594 and 41750240751603.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14810300383 + ... + 14810303201.

It is an arithmetic number, because the mean of its divisors is an integer number (132408221400).

Almost surely, 2^{41750240751648} is an apocalyptic number.

41750240751648 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 41750240751648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76267135526400).

41750240751648 is an abundant number, since it is smaller than the sum of its proper divisors (110784030301152).

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

41750240751648 is a wasteful number, since it uses less digits than its factorization.

41750240751648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 41750240751648 in words is "forty-one trillion, seven hundred fifty billion, two hundred forty million, seven hundred fifty-one thousand, six hundred forty-eight".