4067298385920 has 3136 divisors, whose sum is σ = 19184435331840. Its totient is φ = 802632499200.

The previous prime is 4067298385907. The next prime is 4067298385921. The reversal of 4067298385920 is 295838927604.

4067298385920 is a `hidden beast` number, since 4 + 0 + 6 + 7 + 2 + 9 + 8 + 38 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4067298385921) by changing a digit.

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 223 ways as a sum of consecutive naturals, for example, 66677022690 + ... + 66677022750.

Almost surely, 2^{4067298385920} is an apocalyptic number.

4067298385920 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 4067298385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592217665920).

4067298385920 is an abundant number, since it is smaller than the sum of its proper divisors (15117136945920).

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

4067298385920 is an equidigital number, since it uses as much as digits as its factorization.

4067298385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 4067298385920 in words is "four trillion, sixty-seven billion, two hundred ninety-eight million, three hundred eighty-five thousand, nine hundred twenty".