10414263132 has 144 divisors (see below), whose sum is σ = 33445414912. Its totient is φ = 2657992320.

The previous prime is 10414263113. The next prime is 10414263137. The reversal of 10414263132 is 23136241401.

It is a happy number.

10414263132 is a `hidden beast` number, since 10 + 4 + 14 + 2 + 631 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10414263096 and 10414263105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10414263137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50283 + ... + 152829.

Almost surely, 2^10414263132 is an apocalyptic number.

10414263132 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 10414263132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722707456).

10414263132 is an abundant number, since it is smaller than the sum of its proper divisors (23031151780).

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

10414263132 is a wasteful number, since it uses less digits than its factorization.

10414263132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102608 (or 102603 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 10414263132 in words is "ten billion, four hundred fourteen million, two hundred sixty-three thousand, one hundred thirty-two".