10235424414720 has 352 divisors, whose sum is σ = 34617704841216. Its totient is φ = 2576970547200.

The previous prime is 10235424414713. The next prime is 10235424414727. The reversal of 10235424414720 is 2741442453201.

It is an interprime number because it is at equal distance from previous prime (10235424414713) and next prime (10235424414727).

It is a super-3 number, since 3×10235424414720³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10235424414727) 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 31 ways as a sum of consecutive naturals, for example, 19260417 + ... + 19784703.

Almost surely, 2^{10235424414720} is an apocalyptic number.

10235424414720 is a gapful number since it is divisible by the number (10) 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 10235424414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17308852420608).

10235424414720 is an abundant number, since it is smaller than the sum of its proper divisors (24382280426496).

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

10235424414720 is a wasteful number, since it uses less digits than its factorization.

10235424414720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524387 (or 524369 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

Adding to 10235424414720 its reverse (2741442453201), we get a palindrome (12976866867921).

The spelling of 10235424414720 in words is "ten trillion, two hundred thirty-five billion, four hundred twenty-four million, four hundred fourteen thousand, seven hundred twenty".