10340040214140 has 1152 divisors, whose sum is σ = 38327185870848. Its totient is φ = 2062389288960.

The previous prime is 10340040214081. The next prime is 10340040214171. The reversal of 10340040214140 is 4141204004301.

It is a self number, because there is not a number n which added to its sum of digits gives 10340040214140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 6378802530 + ... + 6378804150.

It is an arithmetic number, because the mean of its divisors is an integer number (33270126624).

Almost surely, 2^{10340040214140} is an apocalyptic number.

10340040214140 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 10340040214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163592935424).

10340040214140 is an abundant number, since it is smaller than the sum of its proper divisors (27987145656708).

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

10340040214140 is a wasteful number, since it uses less digits than its factorization.

10340040214140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10340040214140 its reverse (4141204004301), we get a palindrome (14481244218441).

The spelling of 10340040214140 in words is "ten trillion, three hundred forty billion, forty million, two hundred fourteen thousand, one hundred forty".