10420434823014 has 160 divisors (see below), whose sum is σ = 23750554734720. Its totient is φ = 3414239382528.

The previous prime is 10420434823013. The next prime is 10420434823021. The reversal of 10420434823014 is 41032843402401.

10420434823014 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 4 + 348 + 2 + 301 + 4 = 666.

10420434823014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10420434823014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420434823013) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4839959362 + ... + 4839961514.

It is an arithmetic number, because the mean of its divisors is an integer number (148440967092).

Almost surely, 2^{10420434823014} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10420434823014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11875277367360).

10420434823014 is an abundant number, since it is smaller than the sum of its proper divisors (13330119911706).

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

10420434823014 is a wasteful number, since it uses less digits than its factorization.

10420434823014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756 (or 3747 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 10420434823014 in words is "ten trillion, four hundred twenty billion, four hundred thirty-four million, eight hundred twenty-three thousand, fourteen".