10414103141140 has 24 divisors (see below), whose sum is σ = 23156064632232. Its totient is φ = 3920603535360.

The previous prime is 10414103141111. The next prime is 10414103141171. The reversal of 10414103141140 is 4114130141401.

It is a happy number.

10414103141140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1570545329796 + 8843557811344 = 1253214^2 + 2973812^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15314857221 + ... + 15314857900.

It is an arithmetic number, because the mean of its divisors is an integer number (964836026343).

Almost surely, 2^{10414103141140} is an apocalyptic number.

10414103141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414103141140 is an abundant number, since it is smaller than the sum of its proper divisors (12741961491092).

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

10414103141140 is a wasteful number, since it uses less digits than its factorization.

10414103141140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30629715147 (or 30629715145 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 10414103141140 its reverse (4114130141401), we get a palindrome (14528233282541).

The spelling of 10414103141140 in words is "ten trillion, four hundred fourteen billion, one hundred three million, one hundred forty-one thousand, one hundred forty".