4067194000896 has 480 divisors, whose sum is σ = 13153632780288. Its totient is φ = 1247215656960.

The previous prime is 4067194000847. The next prime is 4067194000937. The reversal of 4067194000896 is 6980004917604.

4067194000896 is a `hidden beast` number, since 406 + 71 + 94 + 0 + 0 + 0 + 89 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496540161 + ... + 496548351.

Almost surely, 2^{4067194000896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4067194000896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576816390144).

4067194000896 is an abundant number, since it is smaller than the sum of its proper divisors (9086438779392).

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

4067194000896 is an equidigital number, since it uses as much as digits as its factorization.

4067194000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8544 (or 8516 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4067194000896 in words is "four trillion, sixty-seven billion, one hundred ninety-four million, eight hundred ninety-six", and thus it is an aban number.