10432300320240 has 320 divisors, whose sum is σ = 34554109645440. Its totient is φ = 2594544025600.

The previous prime is 10432300320209. The next prime is 10432300320263. The reversal of 10432300320240 is 4202300323401.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10432300320240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318031840 + ... + 318064640.

It is an arithmetic number, because the mean of its divisors is an integer number (107981592642).

Almost surely, 2^{10432300320240} is an apocalyptic number.

10432300320240 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 10432300320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17277054822720).

10432300320240 is an abundant number, since it is smaller than the sum of its proper divisors (24121809325200).

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

10432300320240 is a wasteful number, since it uses less digits than its factorization.

10432300320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33540 (or 33534 counting only the distinct ones).

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

Adding to 10432300320240 its reverse (4202300323401), we get a palindrome (14634600643641).

The spelling of 10432300320240 in words is "ten trillion, four hundred thirty-two billion, three hundred million, three hundred twenty thousand, two hundred forty".