10271440496448 has 1344 divisors, whose sum is σ = 35154159206400. Its totient is φ = 2844328919040.

The previous prime is 10271440496437. The next prime is 10271440496459. The reversal of 10271440496448 is 84469404417201.

10271440496448 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 144 + 0 + 496 + 4 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10271440496437) and next prime (10271440496459).

It is a junction number, because it is equal to n+sod(n) for n = 10271440496394 and 10271440496403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27101425923 + ... + 27101426301.

Almost surely, 2^{10271440496448} is an apocalyptic number.

10271440496448 is a gapful number since it is divisible by the number (18) 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 10271440496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577079603200).

10271440496448 is an abundant number, since it is smaller than the sum of its proper divisors (24882718709952).

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

10271440496448 is a wasteful number, since it uses less digits than its factorization.

10271440496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 10271440496448 in words is "ten trillion, two hundred seventy-one billion, four hundred forty million, four hundred ninety-six thousand, four hundred forty-eight".