10141314214240 has 96 divisors (see below), whose sum is σ = 26527036322304. Its totient is φ = 3632709527040.

The previous prime is 10141314214217. The next prime is 10141314214249. The reversal of 10141314214240 is 4241241314101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10141314214199 and 10141314214208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141314214249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42882904 + ... + 43118743.

It is an arithmetic number, because the mean of its divisors is an integer number (276323295024).

Almost surely, 2^{10141314214240} is an apocalyptic number.

10141314214240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10141314214240 is an abundant number, since it is smaller than the sum of its proper divisors (16385722108064).

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

10141314214240 is a wasteful number, since it uses less digits than its factorization.

10141314214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86001740 (or 86001732 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 10141314214240 its reverse (4241241314101), we get a palindrome (14382555528341).

The spelling of 10141314214240 in words is "ten trillion, one hundred forty-one billion, three hundred fourteen million, two hundred fourteen thousand, two hundred forty".