1004412573792 has 480 divisors, whose sum is σ = 3273680152512. Its totient is φ = 300488196096.

The previous prime is 1004412573779. The next prime is 1004412573821. The reversal of 1004412573792 is 2973752144001.

1004412573792 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 4 + 1 + 2 + 573 + 79 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 378023728 + ... + 378026384.

Almost surely, 2^{1004412573792} is an apocalyptic number.

1004412573792 is a gapful number since it is divisible by the number (12) 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 1004412573792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636840076256).

1004412573792 is an abundant number, since it is smaller than the sum of its proper divisors (2269267578720).

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

1004412573792 is a wasteful number, since it uses less digits than its factorization.

1004412573792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 1004412573792 in words is "one trillion, four billion, four hundred twelve million, five hundred seventy-three thousand, seven hundred ninety-two".