41454244245414 has 256 divisors, whose sum is σ = 117200692224000. Its totient is φ = 9414027463680.

The previous prime is 41454244245413. The next prime is 41454244245437.

It is a happy number.

41454244245414 is nontrivially palindromic in base 10.

41454244245414 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 not an unprimeable number, because it can be changed into a prime (41454244245413) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 594384957 + ... + 594454695.

It is an arithmetic number, because the mean of its divisors is an integer number (457815204000).

Almost surely, 2^{41454244245414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41454244245414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58600346112000).

41454244245414 is an abundant number, since it is smaller than the sum of its proper divisors (75746447978586).

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

41454244245414 is a wasteful number, since it uses less digits than its factorization.

41454244245414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75003.

The product of its digits is 6553600, while the sum is 48.

The spelling of 41454244245414 in words is "forty-one trillion, four hundred fifty-four billion, two hundred forty-four million, two hundred forty-five thousand, four hundred fourteen".