41364877846314 has 64 divisors (see below), whose sum is σ = 92742019719552. Its totient is φ = 12189168230400.

The previous prime is 41364877846249. The next prime is 41364877846333.

41364877846314 is nontrivially palindromic in base 10.

41364877846314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41364877846314² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 426727 + ... + 9105594.

It is an arithmetic number, because the mean of its divisors is an integer number (1449094058118).

Almost surely, 2^{41364877846314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41364877846314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46371009859776).

41364877846314 is an abundant number, since it is smaller than the sum of its proper divisors (51377141873238).

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

41364877846314 is a wasteful number, since it uses less digits than its factorization.

41364877846314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9534151.

The product of its digits is 260112384, while the sum is 66.

The spelling of 41364877846314 in words is "forty-one trillion, three hundred sixty-four billion, eight hundred seventy-seven million, eight hundred forty-six thousand, three hundred fourteen".