41147469982080 has 1536 divisors, whose sum is σ = 181945343923200. Its totient is φ = 8320066191360.

The previous prime is 41147469982079. The next prime is 41147469982103. The reversal of 41147469982080 is 8028996474114.

41147469982080 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 7 + 469 + 98 + 2 + 0 + 80 = 666.

It is a super-2 number, since 2×41147469982080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 41147469981999 and 41147469982017.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5282762826 + ... + 5282770614.

It is an arithmetic number, because the mean of its divisors is an integer number (118453999950).

Almost surely, 2^{41147469982080} is an apocalyptic number.

41147469982080 is a gapful number since it is divisible by the number (40) 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 41147469982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90972671961600).

41147469982080 is an abundant number, since it is smaller than the sum of its proper divisors (140797873941120).

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

41147469982080 is a wasteful number, since it uses less digits than its factorization.

41147469982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 41147469982080 in words is "forty-one trillion, one hundred forty-seven billion, four hundred sixty-nine million, nine hundred eighty-two thousand, eighty".