4009344768 has 432 divisors, whose sum is σ = 13945835904. Its totient is φ = 1091543040.

The previous prime is 4009344767. The next prime is 4009344799. The reversal of 4009344768 is 8674439004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4009344761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14167155 + ... + 14167437.

Almost surely, 2^4009344768 is an apocalyptic number.

4009344768 is a gapful number since it is divisible by the number (48) 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 4009344768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972917952).

4009344768 is an abundant number, since it is smaller than the sum of its proper divisors (9936491136).

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

4009344768 is a wasteful number, since it uses less digits than its factorization.

4009344768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4009344768 is about 63319.3869837667. The cubic root of 4009344768 is about 1588.6362484611.

The spelling of 4009344768 in words is "four billion, nine million, three hundred forty-four thousand, seven hundred sixty-eight".