1004063182080 has 1152 divisors, whose sum is σ = 3953615339520. Its totient is φ = 212208353280.

The previous prime is 1004063182039. The next prime is 1004063182153. The reversal of 1004063182080 is 802813604001.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4758593175 + ... + 4758593385.

It is an arithmetic number, because the mean of its divisors is an integer number (3431957760).

Almost surely, 2^{1004063182080} is an apocalyptic number.

1004063182080 is a gapful number since it is divisible by the number (10) 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 1004063182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976807669760).

1004063182080 is an abundant number, since it is smaller than the sum of its proper divisors (2949552157440).

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

1004063182080 is a wasteful number, since it uses less digits than its factorization.

1004063182080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

Adding to 1004063182080 its reverse (802813604001), we get a palindrome (1806876786081).

The spelling of 1004063182080 in words is "one trillion, four billion, sixty-three million, one hundred eighty-two thousand, eighty".