1001254400000 has 624 divisors, whose sum is σ = 2764285574400. Its totient is φ = 360898560000.

The previous prime is 1001254399987. The next prime is 1001254400011. The reversal of 1001254400000 is 44521001.

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, 5593599911 + ... + 5593600089.

Almost surely, 2^{1001254400000} is an apocalyptic number.

1001254400000 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 1001254400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382142787200).

1001254400000 is an abundant number, since it is smaller than the sum of its proper divisors (1763031174400).

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

1001254400000 is an frugal number, since it uses more digits than its factorization.

1001254400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 1001254400000 its reverse (44521001), we get a palindrome (1001298921001).

The spelling of 1001254400000 in words is "one trillion, one billion, two hundred fifty-four million, four hundred thousand".