10240442261352 has 48 divisors (see below), whose sum is σ = 27832533056640. Its totient is φ = 3401418977568.

The previous prime is 10240442261323. The next prime is 10240442261353. The reversal of 10240442261352 is 25316224404201.

10240442261352 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 0 + 4 + 42 + 261 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10240442261353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 251266488 + ... + 251307239.

It is an arithmetic number, because the mean of its divisors is an integer number (579844438680).

Almost surely, 2^{10240442261352} is an apocalyptic number.

10240442261352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10240442261352 is an abundant number, since it is smaller than the sum of its proper divisors (17592090795288).

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

10240442261352 is a wasteful number, since it uses less digits than its factorization.

10240442261352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502574022 (or 502574015 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 10240442261352 its reverse (25316224404201), we get a palindrome (35556666665553).

The spelling of 10240442261352 in words is "ten trillion, two hundred forty billion, four hundred forty-two million, two hundred sixty-one thousand, three hundred fifty-two".