4221013104 has 240 divisors, whose sum is σ = 15236881920. Its totient is φ = 1058480640.

The previous prime is 4221013091. The next prime is 4221013127. The reversal of 4221013104 is 4013101224.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314989 + ... + 328115.

It is an arithmetic number, because the mean of its divisors is an integer number (63487008).

Almost surely, 2^4221013104 is an apocalyptic number.

4221013104 is a gapful number since it is divisible by the number (44) 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 4221013104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618440960).

4221013104 is an abundant number, since it is smaller than the sum of its proper divisors (11015868816).

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

4221013104 is a wasteful number, since it uses less digits than its factorization.

4221013104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13188 (or 13179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4221013104 is about 64969.3243307948. The cubic root of 4221013104 is about 1616.1148968237.

Adding to 4221013104 its reverse (4013101224), we get a palindrome (8234114328).

The spelling of 4221013104 in words is "four billion, two hundred twenty-one million, thirteen thousand, one hundred four".