41296509386496 has 2016 divisors, whose sum is σ = 157385311469568. Its totient is φ = 10519502192640.

The previous prime is 41296509386443. The next prime is 41296509386519. The reversal of 41296509386496 is 69468390569214.

41296509386496 is a `hidden beast` number, since 4 + 1 + 2 + 9 + 6 + 50 + 9 + 3 + 86 + 496 = 666.

41296509386496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 223 ways as a sum of consecutive naturals, for example, 88429356055 + ... + 88429356521.

It is an arithmetic number, because the mean of its divisors is an integer number (78068110848).

Almost surely, 2^{41296509386496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41296509386496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78692655734784).

41296509386496 is an abundant number, since it is smaller than the sum of its proper divisors (116088802083072).

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

41296509386496 is a wasteful number, since it uses less digits than its factorization.

41296509386496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 41296509386496 in words is "forty-one trillion, two hundred ninety-six billion, five hundred nine million, three hundred eighty-six thousand, four hundred ninety-six".