10242313413440 has 112 divisors (see below), whose sum is σ = 26311435334352. Its totient is φ = 3783176257536.

The previous prime is 10242313413433. The next prime is 10242313413443. The reversal of 10242313413440 is 4431431324201.

It can be written as a sum of positive squares in 8 ways, for example, as 1483270666816 + 8759042746624 = 1217896^2 + 2959568^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 10242313413397 and 10242313413406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242313413443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17473739 + ... + 18050378.

It is an arithmetic number, because the mean of its divisors is an integer number (234923529771).

Almost surely, 2^{10242313413440} is an apocalyptic number.

10242313413440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10242313413440 is an abundant number, since it is smaller than the sum of its proper divisors (16069121920912).

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

10242313413440 is a wasteful number, since it uses less digits than its factorization.

10242313413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35524204 (or 35524194 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 10242313413440 its reverse (4431431324201), we get a palindrome (14673744737641).

The spelling of 10242313413440 in words is "ten trillion, two hundred forty-two billion, three hundred thirteen million, four hundred thirteen thousand, four hundred forty".