41186664158472 has 384 divisors, whose sum is σ = 132295887360000. Its totient is φ = 11325933319680.

The previous prime is 41186664158461. The next prime is 41186664158539. The reversal of 41186664158472 is 27485146668114.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7628570029 + ... + 7628575427.

It is an arithmetic number, because the mean of its divisors is an integer number (344520540000).

Almost surely, 2^{41186664158472} is an apocalyptic number.

41186664158472 is a gapful number since it is divisible by the number (42) 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 41186664158472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66147943680000).

41186664158472 is an abundant number, since it is smaller than the sum of its proper divisors (91109223201528).

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

41186664158472 is a wasteful number, since it uses less digits than its factorization.

41186664158472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7001 (or 6994 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 41186664158472 in words is "forty-one trillion, one hundred eighty-six billion, six hundred sixty-four million, one hundred fifty-eight thousand, four hundred seventy-two".