41748354514944 has 2160 divisors, whose sum is σ = 162329982855040. Its totient is φ = 10090237132800.

The previous prime is 41748354514943. The next prime is 41748354514949. The reversal of 41748354514944 is 44941545384714.

41748354514944 is a `hidden beast` number, since 4 + 1 + 7 + 4 + 8 + 3 + 545 + 1 + 49 + 44 = 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 (41748354514943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 173229686664 + ... + 173229686904.

Almost surely, 2^{41748354514944} is an apocalyptic number.

41748354514944 is a gapful number since it is divisible by the number (44) 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 41748354514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81164991427520).

41748354514944 is an abundant number, since it is smaller than the sum of its proper divisors (120581628340096).

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

41748354514944 is a wasteful number, since it uses less digits than its factorization.

41748354514944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 356 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 41748354514944 in words is "forty-one trillion, seven hundred forty-eight billion, three hundred fifty-four million, five hundred fourteen thousand, nine hundred forty-four".