10240479814656 has 2112 divisors, whose sum is σ = 38640660774912. Its totient is φ = 2338336014336.

The previous prime is 10240479814651. The next prime is 10240479814657. The reversal of 10240479814656 is 65641897404201.

It is a super-2 number, since 2×10240479814656² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 10240479814596 and 10240479814605.

It is not an unprimeable number, because it can be changed into a prime (10240479814651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80633699265 + ... + 80633699391.

Almost surely, 2^{10240479814656} is an apocalyptic number.

10240479814656 is a gapful number since it is divisible by the number (16) 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 10240479814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19320330387456).

10240479814656 is an abundant number, since it is smaller than the sum of its proper divisors (28400180960256).

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

10240479814656 is a wasteful number, since it uses less digits than its factorization.

10240479814656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 10240479814656 in words is "ten trillion, two hundred forty billion, four hundred seventy-nine million, eight hundred fourteen thousand, six hundred fifty-six".