21442617072 has 120 divisors (see below), whose sum is σ = 64305665424. Its totient is φ = 6645983232.

The previous prime is 21442617071. The next prime is 21442617073. The reversal of 21442617072 is 27071624412.

21442617072 is a `hidden beast` number, since 21 + 442 + 61 + 70 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (21442617071) and next prime (21442617073).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442617071) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 150418 + ... + 255950.

Almost surely, 2^21442617072 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 21442617072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32152832712).

21442617072 is an abundant number, since it is smaller than the sum of its proper divisors (42863048352).

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

21442617072 is a wasteful number, since it uses less digits than its factorization.

21442617072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105647 (or 105638 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 21442617072 in words is "twenty-one billion, four hundred forty-two million, six hundred seventeen thousand, seventy-two".