10243020400000 has 384 divisors, whose sum is σ = 26644679006400. Its totient is φ = 3917061120000.

The previous prime is 10243020399991. The next prime is 10243020400003. The reversal of 10243020400000 is 402034201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243020400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1194795714 + ... + 1194804286.

Almost surely, 2^{10243020400000} is an apocalyptic number.

10243020400000 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 10243020400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322339503200).

10243020400000 is an abundant number, since it is smaller than the sum of its proper divisors (16401658606400).

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

10243020400000 is an frugal number, since it uses more digits than its factorization.

10243020400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8744 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10243020400000 its reverse (402034201), we get a palindrome (10243422434201).

The spelling of 10243020400000 in words is "ten trillion, two hundred forty-three billion, twenty million, four hundred thousand".