10414404411124 has 48 divisors (see below), whose sum is σ = 21742084885248. Its totient is φ = 4267751228928.

The previous prime is 10414404411097. The next prime is 10414404411127. The reversal of 10414404411124 is 42111440441401.

10414404411124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10414404411124³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414404411127) 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, 1029667 + ... + 4678570.

It is an arithmetic number, because the mean of its divisors is an integer number (452960101776).

Almost surely, 2^{10414404411124} is an apocalyptic number.

10414404411124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10414404411124 is an abundant number, since it is smaller than the sum of its proper divisors (11327680474124).

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

10414404411124 is a wasteful number, since it uses less digits than its factorization.

10414404411124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711104 (or 5711102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 10414404411124 its reverse (42111440441401), we get a palindrome (52525844852525).

The spelling of 10414404411124 in words is "ten trillion, four hundred fourteen billion, four hundred four million, four hundred eleven thousand, one hundred twenty-four".