4116420000 has 1080 divisors, whose sum is σ = 19056125088. Its totient is φ = 855360000.

The previous prime is 4116419969. The next prime is 4116420013. The reversal of 4116420000 is 246114.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 374219995 + ... + 374220005.

Almost surely, 2^4116420000 is an apocalyptic number.

4116420000 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 4116420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9528062544).

4116420000 is an abundant number, since it is smaller than the sum of its proper divisors (14939705088).

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

4116420000 is an equidigital number, since it uses as much as digits as its factorization.

4116420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4116420000 is about 64159.3329142378. The cubic root of 4116420000 is about 1602.6544479227.

Adding to 4116420000 its reverse (246114), we get a palindrome (4116666114).

The spelling of 4116420000 in words is "four billion, one hundred sixteen million, four hundred twenty thousand".