5007933440 has 272 divisors, whose sum is σ = 13589441280. Its totient is φ = 1761607680.

The previous prime is 5007933433. The next prime is 5007933443. The reversal of 5007933440 is 443397005.

It is a tau number, because it is divible by the number of its divisors (272).

It is a self number, because there is not a number n which added to its sum of digits gives 5007933440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5007933443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161546225 + ... + 161546255.

Almost surely, 2^5007933440 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 5007933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794720640).

5007933440 is an abundant number, since it is smaller than the sum of its proper divisors (8581507840).

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

5007933440 is an equidigital number, since it uses as much as digits as its factorization.

5007933440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 5007933440 is about 70766.7537760494. The cubic root of 5007933440 is about 1710.8798682029.

The spelling of 5007933440 in words is "five billion, seven million, nine hundred thirty-three thousand, four hundred forty".