10224962941440 has 1280 divisors, whose sum is σ = 38652670070784. Its totient is φ = 2281911091200.

The previous prime is 10224962941411. The next prime is 10224962941451. The reversal of 10224962941440 is 4414926942201.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10224962941440.

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 127 ways as a sum of consecutive naturals, for example, 19625648380 + ... + 19625648900.

Almost surely, 2^{10224962941440} is an apocalyptic number.

10224962941440 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 10224962941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19326335035392).

10224962941440 is an abundant number, since it is smaller than the sum of its proper divisors (28427707129344).

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

10224962941440 is a wasteful number, since it uses less digits than its factorization.

10224962941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 10224962941440 in words is "ten trillion, two hundred twenty-four billion, nine hundred sixty-two million, nine hundred forty-one thousand, four hundred forty".