4005359463168 has 1152 divisors, whose sum is σ = 14683363430400. Its totient is φ = 1052117434368.

The previous prime is 4005359463139. The next prime is 4005359463241. The reversal of 4005359463168 is 8613649535004.

4005359463168 is a `hidden beast` number, since 4 + 0 + 0 + 535 + 9 + 46 + 3 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3664555230 + ... + 3664556322.

It is an arithmetic number, because the mean of its divisors is an integer number (12745975200).

Almost surely, 2^{4005359463168} is an apocalyptic number.

4005359463168 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 4005359463168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7341681715200).

4005359463168 is an abundant number, since it is smaller than the sum of its proper divisors (10678003967232).

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

4005359463168 is a wasteful number, since it uses less digits than its factorization.

4005359463168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 4005359463168 in words is "four trillion, five billion, three hundred fifty-nine million, four hundred sixty-three thousand, one hundred sixty-eight".