10114403342340 has 192 divisors, whose sum is σ = 31893165545472. Its totient is φ = 2373758822400.

The previous prime is 10114403342333. The next prime is 10114403342341. The reversal of 10114403342340 is 4324330441101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10114403342298 and 10114403342307.

It is not an unprimeable number, because it can be changed into a prime (10114403342341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1629985 + ... + 4783895.

It is an arithmetic number, because the mean of its divisors is an integer number (166110237216).

Almost surely, 2^{10114403342340} is an apocalyptic number.

10114403342340 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 10114403342340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15946582772736).

10114403342340 is an abundant number, since it is smaller than the sum of its proper divisors (21778762203132).

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

10114403342340 is a wasteful number, since it uses less digits than its factorization.

10114403342340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154090 (or 3154088 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10114403342340 its reverse (4324330441101), we get a palindrome (14438733783441).

The spelling of 10114403342340 in words is "ten trillion, one hundred fourteen billion, four hundred three million, three hundred forty-two thousand, three hundred forty".