4001168283840 has 1792 divisors, whose sum is σ = 18058735779840. Its totient is φ = 811252039680.

The previous prime is 4001168283811. The next prime is 4001168283883. The reversal of 4001168283840 is 483828611004.

4001168283840 is a `hidden beast` number, since 400 + 1 + 16 + 82 + 83 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 4070363989 + ... + 4070364971.

It is an arithmetic number, because the mean of its divisors is an integer number (10077419520).

Almost surely, 2^{4001168283840} is an apocalyptic number.

4001168283840 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 4001168283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9029367889920).

4001168283840 is an abundant number, since it is smaller than the sum of its proper divisors (14057567496000).

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

4001168283840 is a wasteful number, since it uses less digits than its factorization.

4001168283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 4001168283840 in words is "four trillion, one billion, one hundred sixty-eight million, two hundred eighty-three thousand, eight hundred forty".