4113246720 has 320 divisors, whose sum is σ = 14477823360. Its totient is φ = 987955200.

The previous prime is 4113246671. The next prime is 4113246733. The reversal of 4113246720 is 276423114.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×4113246720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 15290746 + ... + 15291014.

It is an arithmetic number, because the mean of its divisors is an integer number (45243198).

Almost surely, 2^4113246720 is an apocalyptic number.

4113246720 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 4113246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238911680).

4113246720 is an abundant number, since it is smaller than the sum of its proper divisors (10364576640).

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

4113246720 is a wasteful number, since it uses less digits than its factorization.

4113246720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4113246720 is about 64134.5984629202. The cubic root of 4113246720 is about 1602.2425221323.

Adding to 4113246720 its reverse (276423114), we get a palindrome (4389669834).

The spelling of 4113246720 in words is "four billion, one hundred thirteen million, two hundred forty-six thousand, seven hundred twenty".