10400421243300 has 576 divisors, whose sum is σ = 34983010944000. Its totient is φ = 2357732966400.

The previous prime is 10400421243299. The next prime is 10400421243301. The reversal of 10400421243300 is 334212400401.

10400421243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10400421243299) and next prime (10400421243301).

It is not an unprimeable number, because it can be changed into a prime (10400421243301) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7128457971 + ... + 7128459429.

It is an arithmetic number, because the mean of its divisors is an integer number (60734394000).

Almost surely, 2^{10400421243300} is an apocalyptic number.

10400421243300 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 10400421243300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491505472000).

10400421243300 is an abundant number, since it is smaller than the sum of its proper divisors (24582589700700).

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

10400421243300 is a wasteful number, since it uses less digits than its factorization.

10400421243300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2236 (or 2229 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10400421243300 its reverse (334212400401), we get a palindrome (10734633643701).

The spelling of 10400421243300 in words is "ten trillion, four hundred billion, four hundred twenty-one million, two hundred forty-three thousand, three hundred".