4213004000 has 96 divisors (see below), whose sum is σ = 10708588800. Its totient is φ = 1627046400.

The previous prime is 4213003999. The next prime is 4213004009. The reversal of 4213004000 is 4003124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4213004009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97841 + ... + 134159.

It is an arithmetic number, because the mean of its divisors is an integer number (111547800).

Almost surely, 2^4213004000 is an apocalyptic number.

4213004000 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 4213004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5354294400).

4213004000 is an abundant number, since it is smaller than the sum of its proper divisors (6495584800).

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

4213004000 is a wasteful number, since it uses less digits than its factorization.

4213004000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36373 (or 36355 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4213004000 is about 64907.6574835358. The cubic root of 4213004000 is about 1615.0920912255.

Adding to 4213004000 its reverse (4003124), we get a palindrome (4217007124).

The spelling of 4213004000 in words is "four billion, two hundred thirteen million, four thousand".