54444124400 has 120 divisors (see below), whose sum is σ = 135685973280. Its totient is φ = 20968657920.

The previous prime is 54444124331. The next prime is 54444124409. The reversal of 54444124400 is 442144445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54444124409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4320509 + ... + 4333091.

It is an arithmetic number, because the mean of its divisors is an integer number (1130716444).

Almost surely, 2^54444124400 is an apocalyptic number.

54444124400 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 54444124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67842986640).

54444124400 is an abundant number, since it is smaller than the sum of its proper divisors (81241848880).

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

54444124400 is a wasteful number, since it uses less digits than its factorization.

54444124400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13003 (or 12992 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 32.

Adding to 54444124400 its reverse (442144445), we get a palindrome (54886268845).

The spelling of 54444124400 in words is "fifty-four billion, four hundred forty-four million, one hundred twenty-four thousand, four hundred".