10240284966912 has 3240 divisors, whose sum is σ = 43944125942808. Its totient is φ = 2267189084160.

The previous prime is 10240284966889. The next prime is 10240284967001. The reversal of 10240284966912 is 21966948204201.

10240284966912 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 28 + 496 + 6 + 91 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2014310301696 + 8225974665216 = 1419264^2 + 2868096^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 193212923878 + ... + 193212923930.

Almost surely, 2^{10240284966912} is an apocalyptic number.

10240284966912 is a gapful number since it is divisible by the number (12) 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 10240284966912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972062971404).

10240284966912 is an abundant number, since it is smaller than the sum of its proper divisors (33703840975896).

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

10240284966912 is a wasteful number, since it uses less digits than its factorization.

10240284966912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 10240284966912 in words is "ten trillion, two hundred forty billion, two hundred eighty-four million, nine hundred sixty-six thousand, nine hundred twelve".