4115040000 has 180 divisors, whose sum is σ = 13687224936. Its totient is φ = 1097216000.

The previous prime is 4115039993. The next prime is 4115040011. The reversal of 4115040000 is 405114.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475714 + ... + 484286.

Almost surely, 2^4115040000 is an apocalyptic number.

4115040000 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 4115040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843612468).

4115040000 is an abundant number, since it is smaller than the sum of its proper divisors (9572184936).

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

4115040000 is an frugal number, since it uses more digits than its factorization.

4115040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8612 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4115040000 is about 64148.5775368402. The cubic root of 4115040000 is about 1602.4753351393.

Adding to 4115040000 its reverse (405114), we get a palindrome (4115445114).

The spelling of 4115040000 in words is "four billion, one hundred fifteen million, forty thousand".