54220441214400 has 84 divisors (see below), whose sum is σ = 177888230899992. Its totient is φ = 14458784322560.

The previous prime is 54220441214393. The next prime is 54220441214417. The reversal of 54220441214400 is 441214402245.

It is a super-3 number, since 3×54220441214400³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5647957827 + ... + 5647967426.

Almost surely, 2^{54220441214400} is an apocalyptic number.

54220441214400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54220441214400 is an abundant number, since it is smaller than the sum of its proper divisors (123667789685592).

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

54220441214400 is a wasteful number, since it uses less digits than its factorization.

54220441214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11295925278 (or 11295925263 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 33.

Adding to 54220441214400 its reverse (441214402245), we get a palindrome (54661655616645).

The spelling of 54220441214400 in words is "fifty-four trillion, two hundred twenty billion, four hundred forty-one million, two hundred fourteen thousand, four hundred".