10030217782144 has 64 divisors (see below), whose sum is σ = 22886194716000. Its totient is φ = 4289339934720.

The previous prime is 10030217782129. The next prime is 10030217782163. The reversal of 10030217782144 is 44128771203001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 10030217782097 and 10030217782106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11728419 + ... + 12554530.

Almost surely, 2^{10030217782144} is an apocalyptic number.

10030217782144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10030217782144 is an abundant number, since it is smaller than the sum of its proper divisors (12855976933856).

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

10030217782144 is an equidigital number, since it uses as much as digits as its factorization.

10030217782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24283431 (or 24283419 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

Adding to 10030217782144 its reverse (44128771203001), we get a palindrome (54158988985145).

The spelling of 10030217782144 in words is "ten trillion, thirty billion, two hundred seventeen million, seven hundred eighty-two thousand, one hundred forty-four".