1010284514800 has 180 divisors, whose sum is σ = 2808343023640. Its totient is φ = 348040281600.

The previous prime is 1010284514797. The next prime is 1010284514809. The reversal of 1010284514800 is 84154820101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010284514809) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 370294 + ... + 1468906.

Almost surely, 2^{1010284514800} is an apocalyptic number.

1010284514800 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 1010284514800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404171511820).

1010284514800 is an abundant number, since it is smaller than the sum of its proper divisors (1798058508840).

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

1010284514800 is a wasteful number, since it uses less digits than its factorization.

1010284514800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098672 (or 1098650 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 1010284514800 in words is "one trillion, ten billion, two hundred eighty-four million, five hundred fourteen thousand, eight hundred".