1004265882144 has 288 divisors, whose sum is σ = 3396353950080. Its totient is φ = 285949274112.

The previous prime is 1004265882107. The next prime is 1004265882157. The reversal of 1004265882144 is 4412885624001.

1004265882144 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 2 + 6 + 588 + 21 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 1004265882144.

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 47 ways as a sum of consecutive naturals, for example, 15917092 + ... + 15980060.

It is an arithmetic number, because the mean of its divisors is an integer number (11792895660).

Almost surely, 2^{1004265882144} is an apocalyptic number.

1004265882144 is a gapful number since it is divisible by the number (14) 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 1004265882144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698176975040).

1004265882144 is an abundant number, since it is smaller than the sum of its proper divisors (2392088067936).

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

1004265882144 is an equidigital number, since it uses as much as digits as its factorization.

1004265882144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63294 (or 63274 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 1004265882144 in words is "one trillion, four billion, two hundred sixty-five million, eight hundred eighty-two thousand, one hundred forty-four".