4221034000 has 80 divisors (see below), whose sum is σ = 10482494256. Its totient is φ = 1642752000.

The previous prime is 4221033967. The next prime is 4221034031. The reversal of 4221034000 is 4301224.

It can be written as a sum of positive squares in 8 ways, for example, as 752295184 + 3468738816 = 27428^2 + 58896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45480 + ... + 102520.

Almost surely, 2^4221034000 is an apocalyptic number.

4221034000 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 4221034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241247128).

4221034000 is an abundant number, since it is smaller than the sum of its proper divisors (6261460256).

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

4221034000 is a wasteful number, since it uses less digits than its factorization.

4221034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57101 (or 57085 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4221034000 is about 64969.4851449509. The cubic root of 4221034000 is about 1616.1175636622.

Adding to 4221034000 its reverse (4301224), we get a palindrome (4225335224).

The spelling of 4221034000 in words is "four billion, two hundred twenty-one million, thirty-four thousand".