10420016280024 has 128 divisors (see below), whose sum is σ = 29284524864000. Its totient is φ = 3065618688000.

The previous prime is 10420016280019. The next prime is 10420016280053. The reversal of 10420016280024 is 42008261002401.

It is a Cunningham number, because it is equal to 3228005²-1.

It is a junction number, because it is equal to n+sod(n) for n = 10420016279973 and 10420016280000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19099024 + ... + 19637024.

It is an arithmetic number, because the mean of its divisors is an integer number (228785350500).

Almost surely, 2^{10420016280024} 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 10420016280024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14642262432000).

10420016280024 is an abundant number, since it is smaller than the sum of its proper divisors (18864508583976).

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

10420016280024 is a wasteful number, since it uses less digits than its factorization.

10420016280024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540745 (or 540741 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 10420016280024 its reverse (42008261002401), we get a palindrome (52428277282425).

The spelling of 10420016280024 in words is "ten trillion, four hundred twenty billion, sixteen million, two hundred eighty thousand, twenty-four".