4405210000 has 100 divisors (see below), whose sum is σ = 11293269372. Its totient is φ = 1658368000.

The previous prime is 4405209971. The next prime is 4405210003. The reversal of 4405210000 is 125044.

It can be written as a sum of positive squares in 10 ways, for example, as 2548634256 + 1856575744 = 50484^2 + 43088^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is not an unprimeable number, because it can be changed into a prime (4405210003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157044 + ... + 182956.

Almost surely, 2^4405210000 is an apocalyptic number.

4405210000 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 4405210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646634686).

4405210000 is an abundant number, since it is smaller than the sum of its proper divisors (6888059372).

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

4405210000 is a wasteful number, since it uses less digits than its factorization.

4405210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25958 (or 25937 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 4405210000 is about 66371.7560412560. The cubic root of 4405210000 is about 1639.2890533374.

Adding to 4405210000 its reverse (125044), we get a palindrome (4405335044).

The spelling of 4405210000 in words is "four billion, four hundred five million, two hundred ten thousand".