41516222261514 has 256 divisors, whose sum is σ = 114796389335040. Its totient is φ = 9659607229440.

The previous prime is 41516222261491. The next prime is 41516222261557.

41516222261514 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84867132 + ... + 85354920.

It is an arithmetic number, because the mean of its divisors is an integer number (448423395840).

Almost surely, 2^{41516222261514} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41516222261514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57398194667520).

41516222261514 is an abundant number, since it is smaller than the sum of its proper divisors (73280167073526).

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

41516222261514 is a wasteful number, since it uses less digits than its factorization.

41516222261514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488245.

The product of its digits is 230400, while the sum is 42.

The spelling of 41516222261514 in words is "forty-one trillion, five hundred sixteen billion, two hundred twenty-two million, two hundred sixty-one thousand, five hundred fourteen".