5829949440 has 432 divisors, whose sum is σ = 23522630040. Its totient is φ = 1331527680.

The previous prime is 5829949439. The next prime is 5829949441. The reversal of 5829949440 is 449499285.

It is an interprime number because it is at equal distance from previous prime (5829949439) and next prime (5829949441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5829949441) 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 35 ways as a sum of consecutive naturals, for example, 4515195 + ... + 4516485.

Almost surely, 2^5829949440 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 5829949440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11761315020).

5829949440 is an abundant number, since it is smaller than the sum of its proper divisors (17692680600).

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

5829949440 is a wasteful number, since it uses less digits than its factorization.

5829949440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The square root of 5829949440 is about 76354.1055870606. The cubic root of 5829949440 is about 1799.7890123070.

The spelling of 5829949440 in words is "five billion, eight hundred twenty-nine million, nine hundred forty-nine thousand, four hundred forty".