41947143243408 has 960 divisors, whose sum is σ = 140286732185600. Its totient is φ = 12026722406400.

The previous prime is 41947143243349. The next prime is 41947143243431. The reversal of 41947143243408 is 80434234174914.

41947143243408 is a `hidden beast` number, since 4 + 1 + 94 + 7 + 143 + 2 + 4 + 3 + 408 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23291028108 + ... + 23291029908.

Almost surely, 2^{41947143243408} is an apocalyptic number.

41947143243408 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 41947143243408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70143366092800).

41947143243408 is an abundant number, since it is smaller than the sum of its proper divisors (98339588942192).

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

41947143243408 is a wasteful number, since it uses less digits than its factorization.

41947143243408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242 (or 2224 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 41947143243408 in words is "forty-one trillion, nine hundred forty-seven billion, one hundred forty-three million, two hundred forty-three thousand, four hundred eight".