5803831440 has 560 divisors, whose sum is σ = 22541682240. Its totient is φ = 1377285120.

The previous prime is 5803831391. The next prime is 5803831469. The reversal of 5803831440 is 441383085.

5803831440 is a `hidden beast` number, since 580 + 3 + 8 + 31 + 4 + 40 = 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 = 5803831395 and 5803831404.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 53246106 + ... + 53246214.

It is an arithmetic number, because the mean of its divisors is an integer number (40253004).

Almost surely, 2^5803831440 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 5803831440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11270841120).

5803831440 is an abundant number, since it is smaller than the sum of its proper divisors (16737850800).

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

5803831440 is a wasteful number, since it uses less digits than its factorization.

5803831440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5803831440 is about 76182.8815417217. The cubic root of 5803831440 is about 1797.0973216597.

The spelling of 5803831440 in words is "five billion, eight hundred three million, eight hundred thirty-one thousand, four hundred forty".