20141626228416 has 1344 divisors, whose sum is σ = 81301998919680. Its totient is φ = 4764834201600.

The previous prime is 20141626228357. The next prime is 20141626228421. The reversal of 20141626228416 is 61482262614102.

20141626228416 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 6 + 2 + 6 + 228 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 771312576 + ... + 771338688.

It is an arithmetic number, because the mean of its divisors is an integer number (60492558720).

Almost surely, 2^{20141626228416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20141626228416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40650999459840).

20141626228416 is an abundant number, since it is smaller than the sum of its proper divisors (61160372691264).

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

20141626228416 is a wasteful number, since it uses less digits than its factorization.

20141626228416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26211 (or 26184 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 20141626228416 in words is "twenty trillion, one hundred forty-one billion, six hundred twenty-six million, two hundred twenty-eight thousand, four hundred sixteen".