10242415335240 has 640 divisors, whose sum is σ = 41493626507520. Its totient is φ = 2235340800000.

The previous prime is 10242415335233. The next prime is 10242415335287. The reversal of 10242415335240 is 4253351424201.

It is a happy number.

10242415335240 is a `hidden beast` number, since 1 + 0 + 2 + 42 + 41 + 5 + 335 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10242415335195 and 10242415335204.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13567740 + ... + 14302740.

It is an arithmetic number, because the mean of its divisors is an integer number (64833791418).

Almost surely, 2^{10242415335240} is an apocalyptic number.

10242415335240 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 10242415335240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746813253760).

10242415335240 is an abundant number, since it is smaller than the sum of its proper divisors (31251211172280).

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

10242415335240 is a wasteful number, since it uses less digits than its factorization.

10242415335240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735075 (or 735062 counting only the distinct ones).

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

Adding to 10242415335240 its reverse (4253351424201), we get a palindrome (14495766759441).

The spelling of 10242415335240 in words is "ten trillion, two hundred forty-two billion, four hundred fifteen million, three hundred thirty-five thousand, two hundred forty".