2067143920128 has 960 divisors, whose sum is σ = 7594192869120. Its totient is φ = 527656550400.

The previous prime is 2067143920087. The next prime is 2067143920199. The reversal of 2067143920128 is 8210293417602.

2067143920128 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 1 + 439 + 201 + 2 + 8 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 970033623 + ... + 970035753.

It is an arithmetic number, because the mean of its divisors is an integer number (7910617572).

Almost surely, 2^{2067143920128} is an apocalyptic number.

2067143920128 is a gapful number since it is divisible by the number (28) 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 2067143920128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3797096434560).

2067143920128 is an abundant number, since it is smaller than the sum of its proper divisors (5527048948992).

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

2067143920128 is a wasteful number, since it uses less digits than its factorization.

2067143920128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2250 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2067143920128 in words is "two trillion, sixty-seven billion, one hundred forty-three million, nine hundred twenty thousand, one hundred twenty-eight".