10284342300240 has 160 divisors (see below), whose sum is σ = 32004080524416. Its totient is φ = 2731953899520.

The previous prime is 10284342300233. The next prime is 10284342300313. The reversal of 10284342300240 is 4200324348201.

It is a Cunningham number, because it is equal to 3206921²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128236794 + ... + 128316966.

Almost surely, 2^{10284342300240} is an apocalyptic number.

10284342300240 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 10284342300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16002040262208).

10284342300240 is an abundant number, since it is smaller than the sum of its proper divisors (21719738224176).

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

10284342300240 is a wasteful number, since it uses less digits than its factorization.

10284342300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82237 (or 82231 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 10284342300240 its reverse (4200324348201), we get a palindrome (14484666648441).

The spelling of 10284342300240 in words is "ten trillion, two hundred eighty-four billion, three hundred forty-two million, three hundred thousand, two hundred forty".