4007681168000 has 128 divisors (see below), whose sum is σ = 9969328970640. Its totient is φ = 1602230784000.

The previous prime is 4007681167979. The next prime is 4007681168059. The reversal of 4007681168000 is 8611867004.

It can be written as a sum of positive squares in 8 ways, for example, as 42070932544 + 3965610235456 = 205112^2 + 1991384^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30863210 + ... + 30992790.

Almost surely, 2^{4007681168000} is an apocalyptic number.

4007681168000 is a gapful number since it is divisible by the number (40) 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 4007681168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984664485320).

4007681168000 is an abundant number, since it is smaller than the sum of its proper divisors (5961647802640).

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

4007681168000 is a wasteful number, since it uses less digits than its factorization.

4007681168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131543 (or 131521 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The spelling of 4007681168000 in words is "four trillion, seven billion, six hundred eighty-one million, one hundred sixty-eight thousand".