10020440332320 has 576 divisors, whose sum is σ = 35633286097920. Its totient is φ = 2347349760000.

The previous prime is 10020440332297. The next prime is 10020440332327. The reversal of 10020440332320 is 2323304402001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10020440332327) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5332857141 + ... + 5332859019.

It is an arithmetic number, because the mean of its divisors is an integer number (61863343920).

Almost surely, 2^{10020440332320} is an apocalyptic number.

10020440332320 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 10020440332320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17816643048960).

10020440332320 is an abundant number, since it is smaller than the sum of its proper divisors (25612845765600).

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

10020440332320 is a wasteful number, since it uses less digits than its factorization.

10020440332320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3021 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 10020440332320 its reverse (2323304402001), we get a palindrome (12343744734321).

The spelling of 10020440332320 in words is "ten trillion, twenty billion, four hundred forty million, three hundred thirty-two thousand, three hundred twenty".