10305121232640 has 576 divisors, whose sum is σ = 37611082930176. Its totient is φ = 2382183530496.

The previous prime is 10305121232629. The next prime is 10305121232647. The reversal of 10305121232640 is 4623212150301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10305121232598 and 10305121232607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305121232647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 392907207 + ... + 392933433.

It is an arithmetic number, because the mean of its divisors is an integer number (65297018976).

Almost surely, 2^{10305121232640} is an apocalyptic number.

10305121232640 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 10305121232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18805541465088).

10305121232640 is an abundant number, since it is smaller than the sum of its proper divisors (27305961697536).

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

10305121232640 is a wasteful number, since it uses less digits than its factorization.

10305121232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26744 (or 26730 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10305121232640 its reverse (4623212150301), we get a palindrome (14928333382941).

The spelling of 10305121232640 in words is "ten trillion, three hundred five billion, one hundred twenty-one million, two hundred thirty-two thousand, six hundred forty".