41494768128 has 300 divisors, whose sum is σ = 136150159530. Its totient is φ = 12572651520.

The previous prime is 41494768127. The next prime is 41494768141. The reversal of 41494768128 is 82186749414.

41494768128 is a `hidden beast` number, since 4 + 1 + 49 + 476 + 8 + 128 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26618575104 + 14876193024 = 163152^2 + 121968^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41494768127) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5013978 + ... + 5022246.

Almost surely, 2^41494768128 is an apocalyptic number.

41494768128 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 41494768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68075079765).

41494768128 is an abundant number, since it is smaller than the sum of its proper divisors (94655391402).

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

41494768128 is an equidigital number, since it uses as much as digits as its factorization.

41494768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8321 (or 8285 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 41494768128 in words is "forty-one billion, four hundred ninety-four million, seven hundred sixty-eight thousand, one hundred twenty-eight".