4213944000 has 560 divisors, whose sum is σ = 17835554880. Its totient is φ = 962150400.

The previous prime is 4213943999. The next prime is 4213944047. The reversal of 4213944000 is 4493124.

4213944000 is a `hidden beast` number, since 4 + 213 + 9 + 440 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4535536 + ... + 4536464.

Almost surely, 2^4213944000 is an apocalyptic number.

4213944000 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 4213944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8917777440).

4213944000 is an abundant number, since it is smaller than the sum of its proper divisors (13621610880).

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

4213944000 is an equidigital number, since it uses as much as digits as its factorization.

4213944000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4213944000 is about 64914.8981359441. The cubic root of 4213944000 is about 1615.2122013787.

The spelling of 4213944000 in words is "four billion, two hundred thirteen million, nine hundred forty-four thousand".