4113056920 has 128 divisors (see below), whose sum is σ = 11160000000. Its totient is φ = 1332744192.

The previous prime is 4113056917. The next prime is 4113056929. The reversal of 4113056920 is 296503114.

It is a super-3 number, since 3×4113056920³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113056929) by changing a digit.

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, 3292456 + ... + 3293704.

It is an arithmetic number, because the mean of its divisors is an integer number (87187500).

Almost surely, 2^4113056920 is an apocalyptic number.

4113056920 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 4113056920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5580000000).

4113056920 is an abundant number, since it is smaller than the sum of its proper divisors (7046943080).

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

4113056920 is a wasteful number, since it uses less digits than its factorization.

4113056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1905 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 4113056920 is about 64133.1187453097. The cubic root of 4113056920 is about 1602.2178773420.

The spelling of 4113056920 in words is "four billion, one hundred thirteen million, fifty-six thousand, nine hundred twenty".