10340012123400 has 192 divisors, whose sum is σ = 32203345996800. Its totient is φ = 2744499016960.

The previous prime is 10340012123383. The next prime is 10340012123407. The reversal of 10340012123400 is 432121004301.

It is not an unprimeable number, because it can be changed into a prime (10340012123407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 768025069 + ... + 768038531.

It is an arithmetic number, because the mean of its divisors is an integer number (167725760400).

Almost surely, 2^{10340012123400} is an apocalyptic number.

10340012123400 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 10340012123400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16101672998400).

10340012123400 is an abundant number, since it is smaller than the sum of its proper divisors (21863333873400).

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

10340012123400 is a wasteful number, since it uses less digits than its factorization.

10340012123400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19348 (or 19339 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10340012123400 its reverse (432121004301), we get a palindrome (10772133127701).

The spelling of 10340012123400 in words is "ten trillion, three hundred forty billion, twelve million, one hundred twenty-three thousand, four hundred".