4058404560 has 800 divisors, whose sum is σ = 18019203840. Its totient is φ = 824131584.

The previous prime is 4058404549. The next prime is 4058404561. The reversal of 4058404560 is 654048504.

4058404560 = 6489² + 6490² + ... + 6583².

4058404560 is a `hidden beast` number, since 4 + 0 + 58 + 40 + 4 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4058404561) 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 159 ways as a sum of consecutive naturals, for example, 14651142 + ... + 14651418.

Almost surely, 2^4058404560 is an apocalyptic number.

4058404560 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 4058404560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9009601920).

4058404560 is an abundant number, since it is smaller than the sum of its proper divisors (13960799280).

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

4058404560 is a wasteful number, since it uses less digits than its factorization.

4058404560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4058404560 is about 63705.6085443032. The cubic root of 4058404560 is about 1595.0897064682.

The spelling of 4058404560 in words is "four billion, fifty-eight million, four hundred four thousand, five hundred sixty".