4214314104 has 512 divisors, whose sum is σ = 15328051200. Its totient is φ = 929617920.

The previous prime is 4214314103. The next prime is 4214314123. The reversal of 4214314104 is 4014134124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4214314103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16023877 + ... + 16024139.

It is an arithmetic number, because the mean of its divisors is an integer number (29937600).

Almost surely, 2^4214314104 is an apocalyptic number.

4214314104 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 4214314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664025600).

4214314104 is an abundant number, since it is smaller than the sum of its proper divisors (11113737096).

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

4214314104 is a wasteful number, since it uses less digits than its factorization.

4214314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 4214314104 is about 64917.7487594880. The cubic root of 4214314104 is about 1615.2594871674.

Adding to 4214314104 its reverse (4014134124), we get a palindrome (8228448228).

The spelling of 4214314104 in words is "four billion, two hundred fourteen million, three hundred fourteen thousand, one hundred four".