41345126514640 has 160 divisors (see below), whose sum is σ = 103722487335936. Its totient is φ = 15236333107200.

The previous prime is 41345126514599. The next prime is 41345126514661. The reversal of 41345126514640 is 4641562154314.

41345126514640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1143660565 + ... + 1143696715.

Almost surely, 2^{41345126514640} is an apocalyptic number.

41345126514640 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 41345126514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51861243667968).

41345126514640 is an abundant number, since it is smaller than the sum of its proper divisors (62377360821296).

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

41345126514640 is a wasteful number, since it uses less digits than its factorization.

41345126514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38277 (or 38271 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

Adding to 41345126514640 its reverse (4641562154314), we get a palindrome (45986688668954).

The spelling of 41345126514640 in words is "forty-one trillion, three hundred forty-five billion, one hundred twenty-six million, five hundred fourteen thousand, six hundred forty".