10114003330340 has 384 divisors, whose sum is σ = 27199626854400. Its totient is φ = 3074027765760.

The previous prime is 10114003330339. The next prime is 10114003330349. The reversal of 10114003330340 is 4303330041101.

It is a super-2 number, since 2×10114003330340² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10114003330349) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3325879220 + ... + 3325882260.

It is an arithmetic number, because the mean of its divisors is an integer number (70832361600).

Almost surely, 2^{10114003330340} is an apocalyptic number.

10114003330340 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 10114003330340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13599813427200).

10114003330340 is an abundant number, since it is smaller than the sum of its proper divisors (17085623524060).

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

10114003330340 is a wasteful number, since it uses less digits than its factorization.

10114003330340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10114003330340 its reverse (4303330041101), we get a palindrome (14417333371441).

The spelling of 10114003330340 in words is "ten trillion, one hundred fourteen billion, three million, three hundred thirty thousand, three hundred forty".