21415421862432 has 288 divisors, whose sum is σ = 65953124729856. Its totient is φ = 6552374169600.

The previous prime is 21415421862431. The next prime is 21415421862503. The reversal of 21415421862432 is 23426812451412.

21415421862432 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 5 + 4 + 2 + 18 + 624 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (21415421862431) 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, 2969823307 + ... + 2969830517.

It is an arithmetic number, because the mean of its divisors is an integer number (229003905312).

Almost surely, 2^{21415421862432} 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 21415421862432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32976562364928).

21415421862432 is an abundant number, since it is smaller than the sum of its proper divisors (44537702867424).

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

21415421862432 is a wasteful number, since it uses less digits than its factorization.

21415421862432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11573 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 21415421862432 in words is "twenty-one trillion, four hundred fifteen billion, four hundred twenty-one million, eight hundred sixty-two thousand, four hundred thirty-two".