4005828709344 has 672 divisors, whose sum is σ = 14984070958080. Its totient is φ = 1023390028800.

The previous prime is 4005828709339. The next prime is 4005828709403. The reversal of 4005828709344 is 4439078285004.

4005828709344 is a `hidden beast` number, since 400 + 5 + 82 + 8 + 70 + 93 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 109553337 + ... + 109589895.

It is an arithmetic number, because the mean of its divisors is an integer number (22297724640).

Almost surely, 2^{4005828709344} is an apocalyptic number.

4005828709344 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 4005828709344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492035479040).

4005828709344 is an abundant number, since it is smaller than the sum of its proper divisors (10978242248736).

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

4005828709344 is a wasteful number, since it uses less digits than its factorization.

4005828709344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36666 (or 36643 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 4005828709344 in words is "four trillion, five billion, eight hundred twenty-eight million, seven hundred nine thousand, three hundred forty-four".