10042125453234 has 128 divisors (see below), whose sum is σ = 26111601838080. Its totient is φ = 2800877268672.

The previous prime is 10042125453209. The next prime is 10042125453251. The reversal of 10042125453234 is 43235452124001.

It is a happy number.

10042125453234 is a `hidden beast` number, since 1 + 0 + 0 + 42 + 1 + 2 + 54 + 532 + 34 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28873032 + ... + 29218764.

It is an arithmetic number, because the mean of its divisors is an integer number (203996889360).

Almost surely, 2^{10042125453234} is an apocalyptic number.

10042125453234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10042125453234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13055800919040).

10042125453234 is an abundant number, since it is smaller than the sum of its proper divisors (16069476384846).

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

10042125453234 is a wasteful number, since it uses less digits than its factorization.

10042125453234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347581 (or 347575 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 10042125453234 its reverse (43235452124001), we get a palindrome (53277577577235).

The spelling of 10042125453234 in words is "ten trillion, forty-two billion, one hundred twenty-five million, four hundred fifty-three thousand, two hundred thirty-four".