10321630381440 has 1024 divisors, whose sum is σ = 44409955276800. Its totient is φ = 2211698442240.

The previous prime is 10321630381427. The next prime is 10321630381441. The reversal of 10321630381440 is 4418303612301.

10321630381440 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 1 + 630 + 3 + 8 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10321630381395 and 10321630381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10321630381441) by changing a digit.

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, 528464475 + ... + 528484005.

It is an arithmetic number, because the mean of its divisors is an integer number (43369096950).

Almost surely, 2^{10321630381440} is an apocalyptic number.

10321630381440 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 10321630381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204977638400).

10321630381440 is an abundant number, since it is smaller than the sum of its proper divisors (34088324895360).

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

10321630381440 is a wasteful number, since it uses less digits than its factorization.

10321630381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19840 (or 19822 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10321630381440 its reverse (4418303612301), we get a palindrome (14739933993741).

The spelling of 10321630381440 in words is "ten trillion, three hundred twenty-one billion, six hundred thirty million, three hundred eighty-one thousand, four hundred forty".