10042042320 has 60 divisors (see below), whose sum is σ = 33724527876. Its totient is φ = 2677877760.

The previous prime is 10042042291. The next prime is 10042042331. The reversal of 10042042320 is 2324024001.

10042042320 is a `hidden beast` number, since 10 + 0 + 420 + 4 + 232 + 0 = 666.

10042042320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4553010576 + 5489031744 = 67476^2 + 74088^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×10042042320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10042042293 and 10042042302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6972921 + ... + 6974360.

Almost surely, 2^10042042320 is an apocalyptic number.

10042042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10042042320 is an abundant number, since it is smaller than the sum of its proper divisors (23682485556).

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

10042042320 is a wasteful number, since it uses less digits than its factorization.

10042042320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13947300 (or 13947291 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 10042042320 its reverse (2324024001), we get a palindrome (12366066321).

The spelling of 10042042320 in words is "ten billion, forty-two million, forty-two thousand, three hundred twenty".