41538541386880 has 128 divisors (see below), whose sum is σ = 103824196070400. Its totient is φ = 15861780295680.

The previous prime is 41538541386833. The next prime is 41538541386893. The reversal of 41538541386880 is 8868314583514.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×41538541386880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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 15 ways as a sum of consecutive naturals, for example, 4720465 + ... + 10264495.

It is an arithmetic number, because the mean of its divisors is an integer number (811126531800).

Almost surely, 2^{41538541386880} is an apocalyptic number.

41538541386880 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 41538541386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51912098035200).

41538541386880 is an abundant number, since it is smaller than the sum of its proper divisors (62285654683520).

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

41538541386880 is a wasteful number, since it uses less digits than its factorization.

41538541386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5544582 (or 5544570 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 64.

The spelling of 41538541386880 in words is "forty-one trillion, five hundred thirty-eight billion, five hundred forty-one million, three hundred eighty-six thousand, eight hundred eighty".