5009383440 has 800 divisors, whose sum is σ = 20093356800. Its totient is φ = 1149603840.

The previous prime is 5009383429. The next prime is 5009383441. The reversal of 5009383440 is 443839005.

5009383440 is a `hidden beast` number, since 50 + 0 + 93 + 83 + 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 = 5009383395 and 5009383404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009383441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82121010 + ... + 82121070.

It is an arithmetic number, because the mean of its divisors is an integer number (25116696).

Almost surely, 2^5009383440 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 5009383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046678400).

5009383440 is an abundant number, since it is smaller than the sum of its proper divisors (15083973360).

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

5009383440 is a wasteful number, since it uses less digits than its factorization.

5009383440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5009383440 is about 70776.9979583763. The cubic root of 5009383440 is about 1711.0449753241.

The spelling of 5009383440 in words is "five billion, nine million, three hundred eighty-three thousand, four hundred forty".