5440014134400 has 192 divisors, whose sum is σ = 17920393423200. Its totient is φ = 1450480435200.

The previous prime is 5440014134371. The next prime is 5440014134407. The reversal of 5440014134400 is 44314100445.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5440014134407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82920811 + ... + 82986389.

Almost surely, 2^{5440014134400} is an apocalyptic number.

5440014134400 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 5440014134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8960196711600).

5440014134400 is an abundant number, since it is smaller than the sum of its proper divisors (12480379288800).

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

5440014134400 is a wasteful number, since it uses less digits than its factorization.

5440014134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74247 (or 74230 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 5440014134400 its reverse (44314100445), we get a palindrome (5484328234845).

The spelling of 5440014134400 in words is "five trillion, four hundred forty billion, fourteen million, one hundred thirty-four thousand, four hundred".