41540546767104 has 1296 divisors, whose sum is σ = 159270279831936. Its totient is φ = 10496928153600.

The previous prime is 41540546767103. The next prime is 41540546767171. The reversal of 41540546767104 is 40176764504514.

41540546767104 is a `hidden beast` number, since 4 + 15 + 4 + 0 + 5 + 467 + 67 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is not an unprimeable number, because it can be changed into a prime (41540546767103) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 4785221644 + ... + 4785230324.

Almost surely, 2^{41540546767104} is an apocalyptic number.

41540546767104 is a gapful number since it is divisible by the number (44) 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 41540546767104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79635139915968).

41540546767104 is an abundant number, since it is smaller than the sum of its proper divisors (117729733064832).

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

41540546767104 is an frugal number, since it uses more digits than its factorization.

41540546767104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8741 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 41540546767104 in words is "forty-one trillion, five hundred forty billion, five hundred forty-six million, seven hundred sixty-seven thousand, one hundred four".