10414124532 has 96 divisors (see below), whose sum is σ = 30916838400. Its totient is φ = 2969662176.

The previous prime is 10414124527. The next prime is 10414124551. The reversal of 10414124532 is 23542141401.

10414124532 is a `hidden beast` number, since 1 + 0 + 4 + 1 + 4 + 124 + 532 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10414124496 and 10414124505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382219 + ... + 408557.

It is an arithmetic number, because the mean of its divisors is an integer number (322050400).

Almost surely, 2^10414124532 is an apocalyptic number.

10414124532 is a gapful number since it is divisible by the number (12) 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 10414124532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15458419200).

10414124532 is an abundant number, since it is smaller than the sum of its proper divisors (20502713868).

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

10414124532 is a wasteful number, since it uses less digits than its factorization.

10414124532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26882 (or 26874 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10414124532 its reverse (23542141401), we get a palindrome (33956265933).

The spelling of 10414124532 in words is "ten billion, four hundred fourteen million, one hundred twenty-four thousand, five hundred thirty-two".