21282609940032 has 168 divisors, whose sum is σ = 65692528857504. Its totient is φ = 6063221004288.

The previous prime is 21282609940021. The next prime is 21282609940117. The reversal of 21282609940032 is 23004990628212.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×21282609940032² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4948 + ... + 6524204.

Almost surely, 2^{21282609940032} 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 21282609940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32846264428752).

21282609940032 is an abundant number, since it is smaller than the sum of its proper divisors (44409918917472).

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

21282609940032 is a wasteful number, since it uses less digits than its factorization.

21282609940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6519633 (or 6519616 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 21282609940032 in words is "twenty-one trillion, two hundred eighty-two billion, six hundred nine million, nine hundred forty thousand, thirty-two".