5440520400 has 240 divisors, whose sum is σ = 20027670528. Its totient is φ = 1236672000.

The previous prime is 5440520389. The next prime is 5440520467. The reversal of 5440520400 is 40250445.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1602705 + ... + 1606095.

Almost surely, 2^5440520400 is an apocalyptic number.

5440520400 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 5440520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10013835264).

5440520400 is an abundant number, since it is smaller than the sum of its proper divisors (14587150128).

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

5440520400 is a wasteful number, since it uses less digits than its factorization.

5440520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 5440520400 is about 73759.8834055478. The cubic root of 5440520400 is about 1758.7879482065.

Adding to 5440520400 its reverse (40250445), we get a palindrome (5480770845).

The spelling of 5440520400 in words is "five billion, four hundred forty million, five hundred twenty thousand, four hundred".