4113220608 has 352 divisors, whose sum is σ = 14219608320. Its totient is φ = 1150156800.

The previous prime is 4113220607. The next prime is 4113220613. The reversal of 4113220608 is 8060223114.

4113220608 is a `hidden beast` number, since 4 + 1 + 1 + 32 + 20 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4113220603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10257208 + ... + 10257608.

Almost surely, 2^4113220608 is an apocalyptic number.

4113220608 is a gapful number since it is divisible by the number (48) 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 4113220608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109804160).

4113220608 is an abundant number, since it is smaller than the sum of its proper divisors (10106387712).

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

4113220608 is a wasteful number, since it uses less digits than its factorization.

4113220608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4113220608 is about 64134.3948907293. The cubic root of 4113220608 is about 1602.2391316358.

The spelling of 4113220608 in words is "four billion, one hundred thirteen million, two hundred twenty thousand, six hundred eight".