4004667744 has 288 divisors, whose sum is σ = 13463864064. Its totient is φ = 1012515840.

The previous prime is 4004667727. The next prime is 4004667749. The reversal of 4004667744 is 4477664004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4004667696 and 4004667705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004667749) 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, 13667662 + ... + 13667954.

It is an arithmetic number, because the mean of its divisors is an integer number (46749528).

Almost surely, 2^4004667744 is an apocalyptic number.

4004667744 is a gapful number since it is divisible by the number (44) 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 4004667744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6731932032).

4004667744 is an abundant number, since it is smaller than the sum of its proper divisors (9459196320).

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

4004667744 is a wasteful number, since it uses less digits than its factorization.

4004667744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The square root of 4004667744 is about 63282.4442005838. Note that the first 3 decimals coincide. The cubic root of 4004667744 is about 1588.0182770877.

The spelling of 4004667744 in words is "four billion, four million, six hundred sixty-seven thousand, seven hundred forty-four".