4002244992 has 384 divisors, whose sum is σ = 13113079200. Its totient is φ = 1212309504.

The previous prime is 4002244957. The next prime is 4002244993. The reversal of 4002244992 is 2994422004.

4002244992 is a `hidden beast` number, since 400 + 2 + 244 + 9 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002244993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138008434 + ... + 138008462.

Almost surely, 2^4002244992 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 4002244992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6556539600).

4002244992 is an abundant number, since it is smaller than the sum of its proper divisors (9110834208).

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

4002244992 is an frugal number, since it uses more digits than its factorization.

4002244992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4002244992 is about 63263.2989339001. The cubic root of 4002244992 is about 1587.6979716485.

Adding to 4002244992 its reverse (2994422004), we get a palindrome (6996666996).

The spelling of 4002244992 in words is "four billion, two million, two hundred forty-four thousand, nine hundred ninety-two".