4445100000 has 432 divisors, whose sum is σ = 17274675600. Its totient is φ = 1075200000.

The previous prime is 4445099977. The next prime is 4445100091. The reversal of 4445100000 is 15444.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9899776 + ... + 9900224.

It is an arithmetic number, because the mean of its divisors is an integer number (39987675).

Almost surely, 2^4445100000 is an apocalyptic number.

4445100000 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 4445100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8637337800).

4445100000 is an abundant number, since it is smaller than the sum of its proper divisors (12829575600).

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

4445100000 is a wasteful number, since it uses less digits than its factorization.

4445100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4445100000 is about 66671.5831520446. The cubic root of 4445100000 is about 1644.2222158641. Note that the first 4 decimals are identical.

Adding to 4445100000 its reverse (15444), we get a palindrome (4445115444).

The spelling of 4445100000 in words is "four billion, four hundred forty-five million, one hundred thousand".