5440046400 has 168 divisors, whose sum is σ = 19831141440. Its totient is φ = 1450667520.

The previous prime is 5440046357. The next prime is 5440046407. The reversal of 5440046400 is 46400445.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5440046407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19764 + ... + 106163.

Almost surely, 2^5440046400 is an apocalyptic number.

5440046400 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 5440046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9915570720).

5440046400 is an abundant number, since it is smaller than the sum of its proper divisors (14391095040).

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

5440046400 is a wasteful number, since it uses less digits than its factorization.

5440046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125958 (or 125937 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 5440046400 is about 73756.6702068362. The cubic root of 5440046400 is about 1758.7368691652.

Adding to 5440046400 its reverse (46400445), we get a palindrome (5486446845).

The spelling of 5440046400 in words is "five billion, four hundred forty million, forty-six thousand, four hundred".