4214400000 has 264 divisors, whose sum is σ = 14072224320. Its totient is φ = 1121280000.

The previous prime is 4214399983. The next prime is 4214400019. The reversal of 4214400000 is 44124.

It is a super-2 number, since 2×4214400000² = 35522334720000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9599781 + ... + 9600219.

It is an arithmetic number, because the mean of its divisors is an integer number (53303880).

Almost surely, 2^4214400000 is an apocalyptic number.

4214400000 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 4214400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036112160).

4214400000 is an abundant number, since it is smaller than the sum of its proper divisors (9857824320).

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

4214400000 is an frugal number, since it uses more digits than its factorization.

4214400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4214400000 is about 64918.4103317387. The cubic root of 4214400000 is about 1615.2704611466.

Adding to 4214400000 its reverse (44124), we get a palindrome (4214444124).

The spelling of 4214400000 in words is "four billion, two hundred fourteen million, four hundred thousand".