5440575016800 has 2592 divisors, whose sum is σ = 25498956712320. Its totient is φ = 1119296102400.

The previous prime is 5440575016783. The next prime is 5440575016829. The reversal of 5440575016800 is 86105750445.

5440575016800 is a `hidden beast` number, since 54 + 40 + 57 + 501 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14355079011 + ... + 14355079389.

It is an arithmetic number, because the mean of its divisors is an integer number (9837560460).

Almost surely, 2^{5440575016800} is an apocalyptic number.

5440575016800 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 5440575016800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12749478356160).

5440575016800 is an abundant number, since it is smaller than the sum of its proper divisors (20058381695520).

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

5440575016800 is a wasteful number, since it uses less digits than its factorization.

5440575016800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 5440575016800 in words is "five trillion, four hundred forty billion, five hundred seventy-five million, sixteen thousand, eight hundred".