41765088480 has 96 divisors (see below), whose sum is σ = 131828715648. Its totient is φ = 11114611200.

The previous prime is 41765088467. The next prime is 41765088481. The reversal of 41765088480 is 8488056714.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41765088481) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147075 + ... + 324285.

It is an arithmetic number, because the mean of its divisors is an integer number (1373215788).

Almost surely, 2^41765088480 is an apocalyptic number.

41765088480 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 41765088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65914357824).

41765088480 is an abundant number, since it is smaller than the sum of its proper divisors (90063627168).

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

41765088480 is a wasteful number, since it uses less digits than its factorization.

41765088480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177720 (or 177712 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 41765088480 in words is "forty-one billion, seven hundred sixty-five million, eighty-eight thousand, four hundred eighty".