10042120034432 has 64 divisors (see below), whose sum is σ = 20189082392640. Its totient is φ = 4975245972480.

The previous prime is 10042120034399. The next prime is 10042120034483. The reversal of 10042120034432 is 23443002124001.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 6035207 + ... + 7517177.

It is an arithmetic number, because the mean of its divisors is an integer number (315454412385).

Almost surely, 2^{10042120034432} 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 10042120034432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094541196320).

10042120034432 is an abundant number, since it is smaller than the sum of its proper divisors (10146962358208).

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

10042120034432 is a wasteful number, since it uses less digits than its factorization.

10042120034432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482469 (or 1482457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 10042120034432 its reverse (23443002124001), we get a palindrome (33485122158433).

The spelling of 10042120034432 in words is "ten trillion, forty-two billion, one hundred twenty million, thirty-four thousand, four hundred thirty-two".