4213400000 has 84 divisors (see below), whose sum is σ = 10451034216. Its totient is φ = 1685280000.

The previous prime is 4213399987. The next prime is 4213400011. The reversal of 4213400000 is 43124.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 189467 + ... + 210533.

It is an arithmetic number, because the mean of its divisors is an integer number (124417074).

Almost surely, 2^4213400000 is an apocalyptic number.

4213400000 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 4213400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225517108).

4213400000 is an abundant number, since it is smaller than the sum of its proper divisors (6237634216).

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

4213400000 is an frugal number, since it uses more digits than its factorization.

4213400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21104 (or 21074 counting only the distinct ones).

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

The square root of 4213400000 is about 64910.7078993905. The cubic root of 4213400000 is about 1615.1426929996.

Adding to 4213400000 its reverse (43124), we get a palindrome (4213443124).

The spelling of 4213400000 in words is "four billion, two hundred thirteen million, four hundred thousand".