5440761144 has 256 divisors, whose sum is σ = 19203072000. Its totient is φ = 1388482560.

The previous prime is 5440761127. The next prime is 5440761167. The reversal of 5440761144 is 4411670445.

It is a happy number.

5440761144 is a `hidden beast` number, since 5 + 440 + 76 + 1 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5440761099 and 5440761108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 604872 + ... + 613800.

It is an arithmetic number, because the mean of its divisors is an integer number (75012000).

Almost surely, 2^5440761144 is an apocalyptic number.

5440761144 is a gapful number since it is divisible by the number (54) 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 5440761144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601536000).

5440761144 is an abundant number, since it is smaller than the sum of its proper divisors (13762310856).

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

5440761144 is a wasteful number, since it uses less digits than its factorization.

5440761144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8995 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5440761144 is about 73761.5153315060. The cubic root of 5440761144 is about 1758.8138900509.

The spelling of 5440761144 in words is "five billion, four hundred forty million, seven hundred sixty-one thousand, one hundred forty-four".