4113229840 has 80 divisors (see below), whose sum is σ = 10148457600. Its totient is φ = 1547042816.

The previous prime is 4113229829. The next prime is 4113229853. The reversal of 4113229840 is 489223114.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4113229796 and 4113229805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89616 + ... + 127504.

It is an arithmetic number, because the mean of its divisors is an integer number (126855720).

Almost surely, 2^4113229840 is an apocalyptic number.

4113229840 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 4113229840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074228800).

4113229840 is an abundant number, since it is smaller than the sum of its proper divisors (6035227760).

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

4113229840 is a wasteful number, since it uses less digits than its factorization.

4113229840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37984 (or 37978 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4113229840 is about 64134.4668645495. The cubic root of 4113229840 is about 1602.2403303608.

The spelling of 4113229840 in words is "four billion, one hundred thirteen million, two hundred twenty-nine thousand, eight hundred forty".