5203729440 has 1152 divisors, whose sum is σ = 23938467840. Its totient is φ = 1045094400.

The previous prime is 5203729429. The next prime is 5203729441. The reversal of 5203729440 is 449273025.

5203729440 is a `hidden beast` number, since 5 + 203 + 7 + 2 + 9 + 440 = 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 = 5203729395 and 5203729404.

It is not an unprimeable number, because it can be changed into a prime (5203729441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85307010 + ... + 85307070.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^5203729440 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 5203729440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969233920).

5203729440 is an abundant number, since it is smaller than the sum of its proper divisors (18734738400).

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

5203729440 is a wasteful number, since it uses less digits than its factorization.

5203729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5203729440 is about 72136.8798881682. The cubic root of 5203729440 is about 1732.8922894960.

The spelling of 5203729440 in words is "five billion, two hundred three million, seven hundred twenty-nine thousand, four hundred forty".