4406002000 has 80 divisors (see below), whose sum is σ = 10834574400. Its totient is φ = 1732483200.

The previous prime is 4406001991. The next prime is 4406002019. The reversal of 4406002000 is 2006044.

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 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, 99331 + ... + 136669.

It is an arithmetic number, because the mean of its divisors is an integer number (135432180).

Almost surely, 2^4406002000 is an apocalyptic number.

4406002000 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 4406002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5417287200).

4406002000 is an abundant number, since it is smaller than the sum of its proper divisors (6428572400).

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

4406002000 is a wasteful number, since it uses less digits than its factorization.

4406002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37421 (or 37405 counting only the distinct ones).

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

The square root of 4406002000 is about 66377.7221664016. The cubic root of 4406002000 is about 1639.3872884674.

Adding to 4406002000 its reverse (2006044), we get a palindrome (4408008044).

The spelling of 4406002000 in words is "four billion, four hundred six million, two thousand".