4519058040 has 320 divisors, whose sum is σ = 18274291200. Its totient is φ = 978469632.

The previous prime is 4519058029. The next prime is 4519058041. The reversal of 4519058040 is 408509154.

4519058040 is a `hidden beast` number, since 451 + 90 + 5 + 80 + 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 = 4519057986 and 4519058004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4519058041) 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 79 ways as a sum of consecutive naturals, for example, 425677 + ... + 436163.

It is an arithmetic number, because the mean of its divisors is an integer number (57107160).

Almost surely, 2^4519058040 is an apocalyptic number.

4519058040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4519058040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137145600).

4519058040 is an abundant number, since it is smaller than the sum of its proper divisors (13755233160).

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

4519058040 is a wasteful number, since it uses less digits than its factorization.

4519058040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10523 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 4519058040 is about 67223.9394858707. The cubic root of 4519058040 is about 1653.2910182906.

The spelling of 4519058040 in words is "four billion, five hundred nineteen million, fifty-eight thousand, forty".