55441214400 has 1008 divisors, whose sum is σ = 223346954880. Its totient is φ = 11866521600.

The previous prime is 55441214393. The next prime is 55441214441. The reversal of 55441214400 is 441214455.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 939681571 + ... + 939681629.

It is an arithmetic number, because the mean of its divisors is an integer number (221574360).

Almost surely, 2^55441214400 is an apocalyptic number.

55441214400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55441214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111673477440).

55441214400 is an abundant number, since it is smaller than the sum of its proper divisors (167905740480).

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

55441214400 is a wasteful number, since it uses less digits than its factorization.

55441214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 55441214400 its reverse (441214455), we get a palindrome (55882428855).

Subtracting from 55441214400 its reverse (441214455), we obtain a palindrome (54999999945).

The spelling of 55441214400 in words is "fifty-five billion, four hundred forty-one million, two hundred fourteen thousand, four hundred".