4658135040 has 512 divisors, whose sum is σ = 18056203200. Its totient is φ = 1146617856.

The previous prime is 4658135039. The next prime is 4658135077. The reversal of 4658135040 is 405318564.

It is a happy number.

4658135040 is a `hidden beast` number, since 4 + 6 + 581 + 35 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4658134986 and 4658135004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358318074 + ... + 358318086.

Almost surely, 2^4658135040 is an apocalyptic number.

4658135040 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 4658135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9028101600).

4658135040 is an abundant number, since it is smaller than the sum of its proper divisors (13398068160).

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

4658135040 is an frugal number, since it uses more digits than its factorization.

4658135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4658135040 is about 68250.5314265025. The cubic root of 4658135040 is about 1670.0803193229.

The spelling of 4658135040 in words is "four billion, six hundred fifty-eight million, one hundred thirty-five thousand, forty".