41259398768640 has 1152 divisors, whose sum is σ = 162093205572480. Its totient is φ = 10004049690624.

The previous prime is 41259398768629. The next prime is 41259398768689. The reversal of 41259398768640 is 4686789395214.

41259398768640 is a `hidden beast` number, since 4 + 1 + 2 + 59 + 398 + 76 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2167317202 + ... + 2167336238.

It is an arithmetic number, because the mean of its divisors is an integer number (140705907615).

It is a 1-persistent number, because it is pandigital, but 2⋅41259398768640 = 82518797537280 is not.

Almost surely, 2^{41259398768640} is an apocalyptic number.

41259398768640 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 41259398768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81046602786240).

41259398768640 is an abundant number, since it is smaller than the sum of its proper divisors (120833806803840).

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

41259398768640 is a wasteful number, since it uses less digits than its factorization.

41259398768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19159 (or 19127 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 41259398768640 in words is "forty-one trillion, two hundred fifty-nine billion, three hundred ninety-eight million, seven hundred sixty-eight thousand, six hundred forty".