56441726400 has 168 divisors, whose sum is σ = 187408255104. Its totient is φ = 14869683200.

The previous prime is 56441726399. The next prime is 56441726423. The reversal of 56441726400 is 462714465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327565 + ... + 469235.

It is an arithmetic number, because the mean of its divisors is an integer number (1115525328).

Almost surely, 2^56441726400 is an apocalyptic number.

56441726400 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 56441726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93704127552).

56441726400 is an abundant number, since it is smaller than the sum of its proper divisors (130966528704).

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

56441726400 is a wasteful number, since it uses less digits than its factorization.

56441726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141779 (or 141764 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 56441726400 in words is "fifty-six billion, four hundred forty-one million, seven hundred twenty-six thousand, four hundred".