10025041500234 has 128 divisors (see below), whose sum is σ = 22674567168000. Its totient is φ = 3282829482240.

The previous prime is 10025041500217. The next prime is 10025041500241. The reversal of 10025041500234 is 43200514052001.

10025041500234 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 504 + 150 + 0 + 2 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10025041500198 and 10025041500207.

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 63 ways as a sum of consecutive naturals, for example, 319344679 + ... + 319376069.

It is an arithmetic number, because the mean of its divisors is an integer number (177145056000).

Almost surely, 2^{10025041500234} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025041500234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11337283584000).

10025041500234 is an abundant number, since it is smaller than the sum of its proper divisors (12649525667766).

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

10025041500234 is a wasteful number, since it uses less digits than its factorization.

10025041500234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31977 (or 31971 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10025041500234 its reverse (43200514052001), we get a palindrome (53225555552235).

The spelling of 10025041500234 in words is "ten trillion, twenty-five billion, forty-one million, five hundred thousand, two hundred thirty-four".