41454544545414 has 1024 divisors, whose sum is σ = 130006399057920. Its totient is φ = 9445630371840.

The previous prime is 41454544545391. The next prime is 41454544545529.

It is a happy number.

41454544545414 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 4 + 5 + 44 + 54 + 541 + 4 = 666.

41454544545414 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×41454544545414³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 27877971379 + ... + 27877972865.

It is an arithmetic number, because the mean of its divisors is an integer number (126959374080).

Almost surely, 2^{41454544545414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41454544545414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65003199528960).

41454544545414 is an abundant number, since it is smaller than the sum of its proper divisors (88551854512506).

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

41454544545414 is a wasteful number, since it uses less digits than its factorization.

41454544545414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1876 counting only the distinct ones).

The product of its digits is 40960000, while the sum is 54.

The spelling of 41454544545414 in words is "forty-one trillion, four hundred fifty-four billion, five hundred forty-four million, five hundred forty-five thousand, four hundred fourteen".