10234205425024 has 256 divisors, whose sum is σ = 24007642928640. Its totient is φ = 4254411571200.

The previous prime is 10234205425019. The next prime is 10234205425033. The reversal of 10234205425024 is 42052450243201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5366651079 + ... + 5366652985.

It is an arithmetic number, because the mean of its divisors is an integer number (93779855190).

Almost surely, 2^{10234205425024} is an apocalyptic number.

10234205425024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10234205425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12003821464320).

10234205425024 is an abundant number, since it is smaller than the sum of its proper divisors (13773437503616).

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

10234205425024 is a wasteful number, since it uses less digits than its factorization.

10234205425024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 10234205425024 its reverse (42052450243201), we get a palindrome (52286655668225).

The spelling of 10234205425024 in words is "ten trillion, two hundred thirty-four billion, two hundred five million, four hundred twenty-five thousand, twenty-four".