41063512135680 has 384 divisors, whose sum is σ = 149528188555200. Its totient is φ = 10683187200000.

The previous prime is 41063512135669. The next prime is 41063512135879. The reversal of 41063512135680 is 8653121536014.

41063512135680 is a `hidden beast` number, since 4 + 1 + 0 + 6 + 3 + 512 + 1 + 3 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9524430 + ... + 13146930.

Almost surely, 2^{41063512135680} is an apocalyptic number.

41063512135680 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 41063512135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74764094277600).

41063512135680 is an abundant number, since it is smaller than the sum of its proper divisors (108464676419520).

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

41063512135680 is a wasteful number, since it uses less digits than its factorization.

41063512135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3622578 (or 3622552 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 41063512135680 in words is "forty-one trillion, sixty-three billion, five hundred twelve million, one hundred thirty-five thousand, six hundred eighty".