4068917611200 has 1008 divisors, whose sum is σ = 16107672855456. Its totient is φ = 967856947200.

The previous prime is 4068917611181. The next prime is 4068917611219. The reversal of 4068917611200 is 21167198604.

4068917611200 is a `hidden beast` number, since 4 + 0 + 6 + 8 + 9 + 1 + 7 + 611 + 20 + 0 = 666.

4068917611200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4068917611181) and next prime (4068917611219).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 664744140 + ... + 664750260.

It is an arithmetic number, because the mean of its divisors is an integer number (15979834182).

Almost surely, 2^{4068917611200} is an apocalyptic number.

4068917611200 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 4068917611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053836427728).

4068917611200 is an abundant number, since it is smaller than the sum of its proper divisors (12038755244256).

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

4068917611200 is a wasteful number, since it uses less digits than its factorization.

4068917611200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 4068917611200 in words is "four trillion, sixty-eight billion, nine hundred seventeen million, six hundred eleven thousand, two hundred".