1004245516800 has 720 divisors, whose sum is σ = 3923415656160. Its totient is φ = 253689200640.

The previous prime is 1004245516787. The next prime is 1004245516817. The reversal of 1004245516800 is 86155424001.

It is a happy number.

1004245516800 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 24 + 551 + 6 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 59089104 + ... + 59106096.

Almost surely, 2^{1004245516800} is an apocalyptic number.

1004245516800 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 1004245516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961707828080).

1004245516800 is an abundant number, since it is smaller than the sum of its proper divisors (2919170139360).

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

1004245516800 is an equidigital number, since it uses as much as digits as its factorization.

1004245516800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17055 (or 17022 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1004245516800 in words is "one trillion, four billion, two hundred forty-five million, five hundred sixteen thousand, eight hundred".