1004450263200 has 576 divisors, whose sum is σ = 3892914587520. Its totient is φ = 249052446720.

The previous prime is 1004450263169. The next prime is 1004450263253. The reversal of 1004450263200 is 23620544001.

1004450263200 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 450 + 2 + 6 + 3 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30461122 + ... + 30494078.

It is an arithmetic number, because the mean of its divisors is an integer number (6758532270).

Almost surely, 2^{1004450263200} is an apocalyptic number.

1004450263200 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 1004450263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946457293760).

1004450263200 is an abundant number, since it is smaller than the sum of its proper divisors (2888464324320).

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

1004450263200 is a wasteful number, since it uses less digits than its factorization.

1004450263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33086 (or 33067 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 1004450263200 in words is "one trillion, four billion, four hundred fifty million, two hundred sixty-three thousand, two hundred".