5414791120 has 80 divisors (see below), whose sum is σ = 12722734800. Its totient is φ = 2143096832.

The previous prime is 5414791069. The next prime is 5414791153. The reversal of 5414791120 is 211974145.

It can be written as a sum of positive squares in 8 ways, for example, as 754271296 + 4660519824 = 27464^2 + 68268^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3777924 + ... + 3779356.

It is an arithmetic number, because the mean of its divisors is an integer number (159034185).

Almost surely, 2^5414791120 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 5414791120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361367400).

5414791120 is an abundant number, since it is smaller than the sum of its proper divisors (7307943680).

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

5414791120 is a wasteful number, since it uses less digits than its factorization.

5414791120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 5414791120 is about 73585.2642857250. The cubic root of 5414791120 is about 1756.0110158555.

The spelling of 5414791120 in words is "five billion, four hundred fourteen million, seven hundred ninety-one thousand, one hundred twenty".