4118040000 has 700 divisors, whose sum is σ = 16130186688. Its totient is φ = 1036800000.

The previous prime is 4118039983. The next prime is 4118040001. The reversal of 4118040000 is 408114.

4118040000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4118040001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 100439980 + ... + 100440020.

Almost surely, 2^4118040000 is an apocalyptic number.

4118040000 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 4118040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8065093344).

4118040000 is an abundant number, since it is smaller than the sum of its proper divisors (12012146688).

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

4118040000 is an equidigital number, since it uses as much as digits as its factorization.

4118040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4118040000 is about 64171.9564919132. The cubic root of 4118040000 is about 1602.8646596838.

Adding to 4118040000 its reverse (408114), we get a palindrome (4118448114).

The spelling of 4118040000 in words is "four billion, one hundred eighteen million, forty thousand".