5330742144 has 768 divisors, whose sum is σ = 19795507200. Its totient is φ = 1254113280.

The previous prime is 5330742143. The next prime is 5330742149. The reversal of 5330742144 is 4412470335.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5330742143) 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 95 ways as a sum of consecutive naturals, for example, 144074094 + ... + 144074130.

It is an arithmetic number, because the mean of its divisors is an integer number (25775400).

Almost surely, 2^5330742144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5330742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9897753600).

5330742144 is an abundant number, since it is smaller than the sum of its proper divisors (14464765056).

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

5330742144 is a wasteful number, since it uses less digits than its factorization.

5330742144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 5330742144 is about 73011.9315180745. The cubic root of 5330742144 is about 1746.8779320887.

Subtracting from 5330742144 its reverse (4412470335), we obtain a square (918271809 = 30303²).

The spelling of 5330742144 in words is "five billion, three hundred thirty million, seven hundred forty-two thousand, one hundred forty-four".