4113218880 has 280 divisors, whose sum is σ = 15106375680. Its totient is φ = 1061268480.

The previous prime is 4113218873. The next prime is 4113218881. The reversal of 4113218880 is 888123114.

4113218880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113218881) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 800961 + ... + 806079.

Almost surely, 2^4113218880 is an apocalyptic number.

4113218880 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 4113218880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553187840).

4113218880 is an abundant number, since it is smaller than the sum of its proper divisors (10993156800).

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

4113218880 is a wasteful number, since it uses less digits than its factorization.

4113218880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5179 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 4113218880 is about 64134.3814190174. The cubic root of 4113218880 is about 1602.2389072643.

The spelling of 4113218880 in words is "four billion, one hundred thirteen million, two hundred eighteen thousand, eight hundred eighty".