4140959100 has 216 divisors, whose sum is σ = 12700905840. Its totient is φ = 1041469440.

The previous prime is 4140959063. The next prime is 4140959101. The reversal of 4140959100 is 19590414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140959101) 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 71 ways as a sum of consecutive naturals, for example, 15393766 + ... + 15394034.

It is an arithmetic number, because the mean of its divisors is an integer number (58800490).

Almost surely, 2^4140959100 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 4140959100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350452920).

4140959100 is an abundant number, since it is smaller than the sum of its proper divisors (8559946740).

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

4140959100 is a wasteful number, since it uses less digits than its factorization.

4140959100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 4140959100 is about 64350.2843816560. The cubic root of 4140959100 is about 1605.8327604569.

The spelling of 4140959100 in words is "four billion, one hundred forty million, nine hundred fifty-nine thousand, one hundred".