10424120430240 has 576 divisors, whose sum is σ = 41384624561280. Its totient is φ = 2361289605120.

The previous prime is 10424120430197. The next prime is 10424120430301. The reversal of 10424120430240 is 4203402142401.

10424120430240 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 412 + 0 + 4 + 3 + 0 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37290672 + ... + 37569168.

It is an arithmetic number, because the mean of its divisors is an integer number (71848306530).

Almost surely, 2^{10424120430240} is an apocalyptic number.

10424120430240 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 10424120430240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20692312280640).

10424120430240 is an abundant number, since it is smaller than the sum of its proper divisors (30960504131040).

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

10424120430240 is a wasteful number, since it uses less digits than its factorization.

10424120430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278685 (or 278674 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10424120430240 its reverse (4203402142401), we get a palindrome (14627522572641).

The spelling of 10424120430240 in words is "ten trillion, four hundred twenty-four billion, one hundred twenty million, four hundred thirty thousand, two hundred forty".