4140679500 has 240 divisors, whose sum is σ = 14222688480. Its totient is φ = 1045872000.

The previous prime is 4140679483. The next prime is 4140679507. The reversal of 4140679500 is 59760414.

4140679500 is a `hidden beast` number, since 4 + 140 + 6 + 7 + 9 + 500 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4140679507) 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, 766810 + ... + 772190.

It is an arithmetic number, because the mean of its divisors is an integer number (59261202).

Almost surely, 2^4140679500 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 4140679500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111344240).

4140679500 is an abundant number, since it is smaller than the sum of its proper divisors (10082008980).

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

4140679500 is a wasteful number, since it uses less digits than its factorization.

4140679500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4140679500 is about 64348.1118604113. Note that the first 3 decimals coincide. The cubic root of 4140679500 is about 1605.7966173852.

The spelling of 4140679500 in words is "four billion, one hundred forty million, six hundred seventy-nine thousand, five hundred".