1000302400000 has 480 divisors, whose sum is σ = 2617146023184. Its totient is φ = 381542400000.

The previous prime is 1000302399983. The next prime is 1000302400021. The reversal of 1000302400000 is 42030001.

It can be written as a sum of positive squares in 24 ways, for example, as 969106362624 + 31196037376 = 984432^2 + 176624^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 1000302400000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3611199862 + ... + 3611200138.

Almost surely, 2^{1000302400000} is an apocalyptic number.

1000302400000 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 1000302400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308573011592).

1000302400000 is an abundant number, since it is smaller than the sum of its proper divisors (1616843623184).

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

1000302400000 is an frugal number, since it uses more digits than its factorization.

1000302400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 1000302400000 its reverse (42030001), we get a palindrome (1000344430001).

The spelling of 1000302400000 in words is "one trillion, three hundred two million, four hundred thousand".