4211400000 has 168 divisors, whose sum is σ = 13929420960. Its totient is φ = 1122880000.

The previous prime is 4211399957. The next prime is 4211400013. The reversal of 4211400000 is 41124.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 596491 + ... + 603509.

It is an arithmetic number, because the mean of its divisors is an integer number (82913220).

Almost surely, 2^4211400000 is an apocalyptic number.

4211400000 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 4211400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6964710480).

4211400000 is an abundant number, since it is smaller than the sum of its proper divisors (9718020960).

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

4211400000 is an frugal number, since it uses more digits than its factorization.

4211400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7059 (or 7029 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4211400000 is about 64895.3002920859. The cubic root of 4211400000 is about 1614.8870960443.

Adding to 4211400000 its reverse (41124), we get a palindrome (4211441124).

The spelling of 4211400000 in words is "four billion, two hundred eleven million, four hundred thousand".