10412404024224 has 48 divisors (see below), whose sum is σ = 27351634588992. Its totient is φ = 3468379243008.

The previous prime is 10412404024219. The next prime is 10412404024237. The reversal of 10412404024224 is 42242040421401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10412404024224² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10412404024191 and 10412404024200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37707004 + ... + 37982139.

It is an arithmetic number, because the mean of its divisors is an integer number (569825720604).

Almost surely, 2^{10412404024224} is an apocalyptic number.

It is an amenable number.

10412404024224 is an abundant number, since it is smaller than the sum of its proper divisors (16939230564768).

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

10412404024224 is a wasteful number, since it uses less digits than its factorization.

10412404024224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75690589 (or 75690581 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 10412404024224 its reverse (42242040421401), we get a palindrome (52654444445625).

The spelling of 10412404024224 in words is "ten trillion, four hundred twelve billion, four hundred four million, twenty-four thousand, two hundred twenty-four".