4134400224 has 96 divisors (see below), whose sum is σ = 11001070080. Its totient is φ = 1359416832.

The previous prime is 4134400201. The next prime is 4134400243. The reversal of 4134400224 is 4220044314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4134400224² = 34186530424422500352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4134400194 and 4134400203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3133837 + ... + 3135155.

It is an arithmetic number, because the mean of its divisors is an integer number (114594480).

Almost surely, 2^4134400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4134400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500535040).

4134400224 is an abundant number, since it is smaller than the sum of its proper divisors (6866669856).

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

4134400224 is a wasteful number, since it uses less digits than its factorization.

4134400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4134400224 is about 64299.3018935665. The cubic root of 4134400224 is about 1604.9844848608.

Adding to 4134400224 its reverse (4220044314), we get a palindrome (8354444538).

The spelling of 4134400224 in words is "four billion, one hundred thirty-four million, four hundred thousand, two hundred twenty-four".