10284406300140 has 288 divisors, whose sum is σ = 34584927971328. Its totient is φ = 2274459264000.

The previous prime is 10284406300139. The next prime is 10284406300163. The reversal of 10284406300140 is 4100360448201.

10284406300140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 842218635 + ... + 842230845.

It is an arithmetic number, because the mean of its divisors is an integer number (120086555456).

Almost surely, 2^{10284406300140} is an apocalyptic number.

10284406300140 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 10284406300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17292463985664).

10284406300140 is an abundant number, since it is smaller than the sum of its proper divisors (24300521671188).

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

10284406300140 is a wasteful number, since it uses less digits than its factorization.

10284406300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21509 (or 21500 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 10284406300140 its reverse (4100360448201), we get a palindrome (14384766748341).

The spelling of 10284406300140 in words is "ten trillion, two hundred eighty-four billion, four hundred six million, three hundred thousand, one hundred forty".