1010530400000 has 216 divisors, whose sum is σ = 2750457115728. Its totient is φ = 367462400000.

The previous prime is 1010530399999. The next prime is 1010530400083. The reversal of 1010530400000 is 40350101.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 8742584 + ... + 8857416.

It is an arithmetic number, because the mean of its divisors is an integer number (12733597758).

Almost surely, 2^{1010530400000} is an apocalyptic number.

1010530400000 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 1010530400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375228557864).

1010530400000 is an abundant number, since it is smaller than the sum of its proper divisors (1739926715728).

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

1010530400000 is an frugal number, since it uses more digits than its factorization.

1010530400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114885 (or 114851 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

Adding to 1010530400000 its reverse (40350101), we get a palindrome (1010570750101).

The spelling of 1010530400000 in words is "one trillion, ten billion, five hundred thirty million, four hundred thousand".