41134927680 has 1344 divisors, whose sum is σ = 188218632960. Its totient is φ = 8430428160.

The previous prime is 41134927663. The next prime is 41134927703. The reversal of 41134927680 is 8672943114.

41134927680 is a `hidden beast` number, since 4 + 1 + 13 + 492 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 563492124 + ... + 563492196.

Almost surely, 2^41134927680 is an apocalyptic number.

41134927680 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 41134927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94109316480).

41134927680 is an abundant number, since it is smaller than the sum of its proper divisors (147083705280).

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

41134927680 is a wasteful number, since it uses less digits than its factorization.

41134927680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 41134927680 in words is "forty-one billion, one hundred thirty-four million, nine hundred twenty-seven thousand, six hundred eighty".