10426402381824 has 2688 divisors, whose sum is σ = 40669515694080. Its totient is φ = 2522559283200.

The previous prime is 10426402381823. The next prime is 10426402381849. The reversal of 10426402381824 is 42818320462401.

10426402381824 is a `hidden beast` number, since 1 + 0 + 4 + 264 + 0 + 2 + 381 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10426402381824.

It is not an unprimeable number, because it can be changed into a prime (10426402381823) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142827429852 + ... + 142827429924.

It is an arithmetic number, because the mean of its divisors is an integer number (15130028160).

Almost surely, 2^{10426402381824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10426402381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334757847040).

10426402381824 is an abundant number, since it is smaller than the sum of its proper divisors (30243113312256).

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

10426402381824 is a wasteful number, since it uses less digits than its factorization.

10426402381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 10426402381824 in words is "ten trillion, four hundred twenty-six billion, four hundred two million, three hundred eighty-one thousand, eight hundred twenty-four".