56440418851200 has 768 divisors, whose sum is σ = 196580943014400. Its totient is φ = 14204080619520.

The previous prime is 56440418851163. The next prime is 56440418851231. The reversal of 56440418851200 is 215881404465.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56440418851200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18271419256 + ... + 18271422344.

It is an arithmetic number, because the mean of its divisors is an integer number (255964769550).

Almost surely, 2^{56440418851200} is an apocalyptic number.

56440418851200 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 56440418851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98290471507200).

56440418851200 is an abundant number, since it is smaller than the sum of its proper divisors (140140524163200).

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

56440418851200 is a wasteful number, since it uses less digits than its factorization.

56440418851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4219 (or 4202 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 48.

The spelling of 56440418851200 in words is "fifty-six trillion, four hundred forty billion, four hundred eighteen million, eight hundred fifty-one thousand, two hundred".