10212411013440 has 224 divisors, whose sum is σ = 33170146268160. Its totient is φ = 2661359763456.

The previous prime is 10212411013429. The next prime is 10212411013463. The reversal of 10212411013440 is 4431011421201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10212411013440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6970257 + ... + 8307183.

Almost surely, 2^{10212411013440} is an apocalyptic number.

10212411013440 is a gapful number since it is divisible by the number (10) 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 10212411013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16585073134080).

10212411013440 is an abundant number, since it is smaller than the sum of its proper divisors (22957735254720).

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

10212411013440 is a wasteful number, since it uses less digits than its factorization.

10212411013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337129 (or 1337119 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 10212411013440 its reverse (4431011421201), we get a palindrome (14643422434641).

The spelling of 10212411013440 in words is "ten trillion, two hundred twelve billion, four hundred eleven million, thirteen thousand, four hundred forty".