6040016919072 has 864 divisors, whose sum is σ = 19198244782080. Its totient is φ = 1866238133760.

The previous prime is 6040016919067. The next prime is 6040016919089. The reversal of 6040016919072 is 2709196100406.

6040016919072 is a `hidden beast` number, since 6 + 0 + 400 + 1 + 6 + 91 + 90 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 27085277553 + ... + 27085277775.

It is an arithmetic number, because the mean of its divisors is an integer number (22220190720).

Almost surely, 2^{6040016919072} 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 6040016919072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599122391040).

6040016919072 is an abundant number, since it is smaller than the sum of its proper divisors (13158227863008).

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

6040016919072 is an equidigital number, since it uses as much as digits as its factorization.

6040016919072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 6040016919072 in words is "six trillion, forty billion, sixteen million, nine hundred nineteen thousand, seventy-two".