4214113440 has 48 divisors (see below), whose sum is σ = 13274458848. Its totient is φ = 1123763456.

The previous prime is 4214113403. The next prime is 4214113471. The reversal of 4214113440 is 443114124.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4214113440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4389222 + ... + 4390181.

It is an arithmetic number, because the mean of its divisors is an integer number (276551226).

Almost surely, 2^4214113440 is an apocalyptic number.

4214113440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4214113440 is an abundant number, since it is smaller than the sum of its proper divisors (9060345408).

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

4214113440 is a wasteful number, since it uses less digits than its factorization.

4214113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8779421 (or 8779413 counting only the distinct ones).

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

The square root of 4214113440 is about 64916.2032161463. The cubic root of 4214113440 is about 1615.2338499726.

Adding to 4214113440 its reverse (443114124), we get a palindrome (4657227564).

The spelling of 4214113440 in words is "four billion, two hundred fourteen million, one hundred thirteen thousand, four hundred forty".