4444106700 has 144 divisors (see below), whose sum is σ = 14051600640. Its totient is φ = 1075488000.

The previous prime is 4444106683. The next prime is 4444106729. The reversal of 4444106700 is 76014444.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3368641 + ... + 3369959.

It is an arithmetic number, because the mean of its divisors is an integer number (97580560).

Almost surely, 2^4444106700 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 4444106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025800320).

4444106700 is an abundant number, since it is smaller than the sum of its proper divisors (9607493940).

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

4444106700 is a wasteful number, since it uses less digits than its factorization.

4444106700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368 (or 2361 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 4444106700 is about 66664.1335352077. The cubic root of 4444106700 is about 1644.0997343606.

The spelling of 4444106700 in words is "four billion, four hundred forty-four million, one hundred six thousand, seven hundred".