1004368896000 has 560 divisors, whose sum is σ = 3744963101880. Its totient is φ = 267809587200.

The previous prime is 1004368895983. The next prime is 1004368896031. The reversal of 1004368896000 is 6988634001.

1004368896000 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 36 + 8 + 8 + 9 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 653070864384 + 351298031616 = 808128^2 + 592704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82937946 + ... + 82950054.

Almost surely, 2^{1004368896000} is an apocalyptic number.

1004368896000 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 1004368896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872481550940).

1004368896000 is an abundant number, since it is smaller than the sum of its proper divisors (2740594205880).

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

1004368896000 is an frugal number, since it uses more digits than its factorization.

1004368896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12162 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1004368896000 in words is "one trillion, four billion, three hundred sixty-eight million, eight hundred ninety-six thousand".