4214414400 has 168 divisors, whose sum is σ = 15802173120. Its totient is φ = 963287040.

The previous prime is 4214414333. The next prime is 4214414411. The reversal of 4214414400 is 44144124.

It is a happy number.

4214414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×4214414400² = 35522577469854720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29115 + ... + 96314.

Almost surely, 2^4214414400 is an apocalyptic number.

4214414400 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 4214414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7901086560).

4214414400 is an abundant number, since it is smaller than the sum of its proper divisors (11587758720).

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

4214414400 is a wasteful number, since it uses less digits than its factorization.

4214414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125461 (or 125446 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4214414400 is about 64918.5212400899. The cubic root of 4214414400 is about 1615.2723008603.

Adding to 4214414400 its reverse (44144124), we get a palindrome (4258558524).

The spelling of 4214414400 in words is "four billion, two hundred fourteen million, four hundred fourteen thousand, four hundred".