10306042056000 has 1344 divisors, whose sum is σ = 39669578694720. Its totient is φ = 2544972595200.

The previous prime is 10306042055987. The next prime is 10306042056053. The reversal of 10306042056000 is 65024060301.

10306042056000 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 60 + 42 + 0 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 8434749381696 + 1871292674304 = 2904264^2 + 1367952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37205927862 + ... + 37205928138.

Almost surely, 2^{10306042056000} is an apocalyptic number.

10306042056000 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 10306042056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19834789347360).

10306042056000 is an abundant number, since it is smaller than the sum of its proper divisors (29363536638720).

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

10306042056000 is a wasteful number, since it uses less digits than its factorization.

10306042056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 10306042056000 in words is "ten trillion, three hundred six billion, forty-two million, fifty-six thousand".