10414204124140 has 24 divisors (see below), whose sum is σ = 22146661938240. Its totient is φ = 4112951501568.

The previous prime is 10414204124119. The next prime is 10414204124141. The reversal of 10414204124140 is 4142140241401.

It is a junction number, because it is equal to n+sod(n) for n = 10414204124099 and 10414204124108.

It is not an unprimeable number, because it can be changed into a prime (10414204124141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3295632637 + ... + 3295635796.

It is an arithmetic number, because the mean of its divisors is an integer number (922777580760).

Almost surely, 2^{10414204124140} is an apocalyptic number.

10414204124140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10414204124140 is an abundant number, since it is smaller than the sum of its proper divisors (11732457814100).

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

10414204124140 is a wasteful number, since it uses less digits than its factorization.

10414204124140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6591268521 (or 6591268519 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 10414204124140 its reverse (4142140241401), we get a palindrome (14556344365541).

The spelling of 10414204124140 in words is "ten trillion, four hundred fourteen billion, two hundred four million, one hundred twenty-four thousand, one hundred forty".