56041144320 has 336 divisors, whose sum is σ = 205353025920. Its totient is φ = 12784238592.

The previous prime is 56041144307. The next prime is 56041144373. The reversal of 56041144320 is 2344114065.

It is a tau number, because it is divible by the number of its divisors (336).

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 (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110100226 + ... + 110100734.

It is an arithmetic number, because the mean of its divisors is an integer number (611169720).

Almost surely, 2^56041144320 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 56041144320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102676512960).

56041144320 is an abundant number, since it is smaller than the sum of its proper divisors (149311881600).

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

56041144320 is an frugal number, since it uses more digits than its factorization.

56041144320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 56041144320 its reverse (2344114065), we get a palindrome (58385258385).

The spelling of 56041144320 in words is "fifty-six billion, forty-one million, one hundred forty-four thousand, three hundred twenty".