41394186459648 has 1920 divisors, whose sum is σ = 148252911206400. Its totient is φ = 11398595788800.

The previous prime is 41394186459601. The next prime is 41394186459667. The reversal of 41394186459648 is 84695468149314.

41394186459648 is a `hidden beast` number, since 4 + 1 + 3 + 94 + 1 + 86 + 459 + 6 + 4 + 8 = 666.

It is a super-2 number, since 2×41394186459648² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 57571886233 + ... + 57571886951.

It is an arithmetic number, because the mean of its divisors is an integer number (77215057920).

Almost surely, 2^{41394186459648} is an apocalyptic number.

41394186459648 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 41394186459648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74126455603200).

41394186459648 is an abundant number, since it is smaller than the sum of its proper divisors (106858724746752).

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

41394186459648 is a wasteful number, since it uses less digits than its factorization.

41394186459648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 848 counting only the distinct ones).

The product of its digits is 716636160, while the sum is 72.

The spelling of 41394186459648 in words is "forty-one trillion, three hundred ninety-four billion, one hundred eighty-six million, four hundred fifty-nine thousand, six hundred forty-eight".