41686080952320 has 1152 divisors, whose sum is σ = 181305088473600. Its totient is φ = 8967698251776.

The previous prime is 41686080952301. The next prime is 41686080952357. The reversal of 41686080952320 is 2325908068614.

41686080952320 is a `hidden beast` number, since 4 + 1 + 6 + 8 + 608 + 0 + 9 + 5 + 2 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×41686080952320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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, 296039691 + ... + 296180469.

It is an arithmetic number, because the mean of its divisors is an integer number (157382889300).

Almost surely, 2^{41686080952320} is an apocalyptic number.

41686080952320 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 41686080952320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90652544236800).

41686080952320 is an abundant number, since it is smaller than the sum of its proper divisors (139619007521280).

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

41686080952320 is a wasteful number, since it uses less digits than its factorization.

41686080952320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140845 (or 140813 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 41686080952320 in words is "forty-one trillion, six hundred eighty-six billion, eighty million, nine hundred fifty-two thousand, three hundred twenty".