5144436360 has 512 divisors, whose sum is σ = 20555366400. Its totient is φ = 1133740800.

The previous prime is 5144436359. The next prime is 5144436413. The reversal of 5144436360 is 636344415.

5144436360 is a `hidden beast` number, since 5 + 14 + 4 + 4 + 3 + 636 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18983025 + ... + 18983295.

It is an arithmetic number, because the mean of its divisors is an integer number (40147200).

Almost surely, 2^5144436360 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 5144436360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277683200).

5144436360 is an abundant number, since it is smaller than the sum of its proper divisors (15410930040).

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

5144436360 is a wasteful number, since it uses less digits than its factorization.

5144436360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 5144436360 is about 71724.7262804118. The cubic root of 5144436360 is about 1726.2854086510.

The spelling of 5144436360 in words is "five billion, one hundred forty-four million, four hundred thirty-six thousand, three hundred sixty".