4076448768000 has 3360 divisors, whose sum is σ = 19037153472480. Its totient is φ = 862086758400.

The previous prime is 4076448767969. The next prime is 4076448768001. The reversal of 4076448768000 is 8678446704.

4076448768000 is a `hidden beast` number, since 40 + 7 + 64 + 487 + 68 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4076448768001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 69092351971 + ... + 69092352029.

Almost surely, 2^{4076448768000} is an apocalyptic number.

4076448768000 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 4076448768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9518576736240).

4076448768000 is an abundant number, since it is smaller than the sum of its proper divisors (14960704704480).

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

4076448768000 is an equidigital number, since it uses as much as digits as its factorization.

4076448768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 4076448768000 in words is "four trillion, seventy-six billion, four hundred forty-eight million, seven hundred sixty-eight thousand".