1004613136800 has 2304 divisors, whose sum is σ = 4481281179648. Its totient is φ = 189510451200.

The previous prime is 1004613136789. The next prime is 1004613136853. The reversal of 1004613136800 is 86313164001.

It is a super-2 number, since 2×1004613136800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9753525549 + ... + 9753525651.

It is an arithmetic number, because the mean of its divisors is an integer number (1945000512).

Almost surely, 2^{1004613136800} is an apocalyptic number.

1004613136800 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 1004613136800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240640589824).

1004613136800 is an abundant number, since it is smaller than the sum of its proper divisors (3476668042848).

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

1004613136800 is a wasteful number, since it uses less digits than its factorization.

1004613136800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 1004613136800 in words is "one trillion, four billion, six hundred thirteen million, one hundred thirty-six thousand, eight hundred".