10240775424 has 216 divisors, whose sum is σ = 32963522592. Its totient is φ = 3030773760.

The previous prime is 10240775407. The next prime is 10240775431. The reversal of 10240775424 is 42457704201.

10240775424 is a `hidden beast` number, since 1 + 0 + 2 + 40 + 77 + 542 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1085094 + ... + 1094490.

Almost surely, 2^10240775424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10240775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16481761296).

10240775424 is an abundant number, since it is smaller than the sum of its proper divisors (22722747168).

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

10240775424 is a wasteful number, since it uses less digits than its factorization.

10240775424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9456 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 10240775424 in words is "ten billion, two hundred forty million, seven hundred seventy-five thousand, four hundred twenty-four".