5414058720 has 288 divisors, whose sum is σ = 21844105920. Its totient is φ = 1194762240.

The previous prime is 5414058719. The next prime is 5414058743. The reversal of 5414058720 is 278504145.

5414058720 is a `hidden beast` number, since 54 + 1 + 4 + 0 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 283060 + ... + 301580.

It is an arithmetic number, because the mean of its divisors is an integer number (75847590).

Almost surely, 2^5414058720 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 5414058720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10922052960).

5414058720 is an abundant number, since it is smaller than the sum of its proper divisors (16430047200).

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

5414058720 is a wasteful number, since it uses less digits than its factorization.

5414058720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18578 (or 18567 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5414058720 is about 73580.2875775843. The cubic root of 5414058720 is about 1755.9318401046.

The spelling of 5414058720 in words is "five billion, four hundred fourteen million, fifty-eight thousand, seven hundred twenty".