10042043445072 has 30 divisors (see below), whose sum is σ = 28103774364042. Its totient is φ = 3347347814976.

The previous prime is 10042043445001. The next prime is 10042043445073. The reversal of 10042043445072 is 27054434024001.

10042043445072 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 204 + 3 + 445 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8861004841536 + 1181038603536 = 2976744^2 + 1086756^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042043445073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34868206263 + ... + 34868206550.

Almost surely, 2^{10042043445072} is an apocalyptic number.

10042043445072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10042043445072 is an abundant number, since it is smaller than the sum of its proper divisors (18061730918970).

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

10042043445072 is a wasteful number, since it uses less digits than its factorization.

10042043445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69736412827 (or 69736412818 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

Adding to 10042043445072 its reverse (27054434024001), we get a palindrome (37096477469073).

The spelling of 10042043445072 in words is "ten trillion, forty-two billion, forty-three million, four hundred forty-five thousand, seventy-two".