10221301343440 has 80 divisors (see below), whose sum is σ = 25969103496000. Its totient is φ = 3710504744960.

The previous prime is 10221301343399. The next prime is 10221301343459. The reversal of 10221301343440 is 4434310312201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 10221301343399 and 10221301343408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9377065 + ... + 10410184.

It is an arithmetic number, because the mean of its divisors is an integer number (324613793700).

Almost surely, 2^{10221301343440} is an apocalyptic number.

10221301343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221301343440 is an abundant number, since it is smaller than the sum of its proper divisors (15747802152560).

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

10221301343440 is a wasteful number, since it uses less digits than its factorization.

10221301343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19787860 (or 19787854 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 10221301343440 its reverse (4434310312201), we get a palindrome (14655611655641).

The spelling of 10221301343440 in words is "ten trillion, two hundred twenty-one billion, three hundred one million, three hundred forty-three thousand, four hundred forty".