4140558000 has 400 divisors, whose sum is σ = 15237462240. Its totient is φ = 1083456000.

The previous prime is 4140557999. The next prime is 4140558041. The reversal of 4140558000 is 8550414.

4140558000 is a `hidden beast` number, since 41 + 40 + 5 + 580 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×4140558000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9881791 + ... + 9882209.

Almost surely, 2^4140558000 is an apocalyptic number.

4140558000 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 4140558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618731120).

4140558000 is an abundant number, since it is smaller than the sum of its proper divisors (11096904240).

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

4140558000 is a wasteful number, since it uses less digits than its factorization.

4140558000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 4140558000 is about 64347.1677698405. The cubic root of 4140558000 is about 1605.7809109295.

The spelling of 4140558000 in words is "four billion, one hundred forty million, five hundred fifty-eight thousand".