21410413212132 has 192 divisors, whose sum is σ = 64176647700480. Its totient is φ = 6046467523200.

The previous prime is 21410413212107. The next prime is 21410413212143. The reversal of 21410413212132 is 23121231401412.

21410413212132 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 413 + 212 + 1 + 32 = 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 = 21410413212096 and 21410413212105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22197957 + ... + 23142387.

It is an arithmetic number, because the mean of its divisors is an integer number (334253373440).

Almost surely, 2^{21410413212132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21410413212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32088323850240).

21410413212132 is an abundant number, since it is smaller than the sum of its proper divisors (42766234488348).

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

21410413212132 is a wasteful number, since it uses less digits than its factorization.

21410413212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944799 (or 944791 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21410413212132 its reverse (23121231401412), we get a palindrome (44531644613544).

The spelling of 21410413212132 in words is "twenty-one trillion, four hundred ten billion, four hundred thirteen million, two hundred twelve thousand, one hundred thirty-two".