21424022042412 has 192 divisors, whose sum is σ = 56018279116800. Its totient is φ = 6317684094720.

The previous prime is 21424022042341. The next prime is 21424022042491.

21424022042412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 21424022042412.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4128735514 + ... + 4128740702.

It is an arithmetic number, because the mean of its divisors is an integer number (291761870400).

Almost surely, 2^{21424022042412} is an apocalyptic number.

21424022042412 is a gapful number since it is divisible by the number (22) 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 21424022042412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009139558400).

21424022042412 is an abundant number, since it is smaller than the sum of its proper divisors (34594257074388).

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

21424022042412 is a wasteful number, since it uses less digits than its factorization.

21424022042412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10516 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 2142402 and 2042412, that added together give a palindrome (4184814).

The spelling of 21424022042412 in words is "twenty-one trillion, four hundred twenty-four billion, twenty-two million, forty-two thousand, four hundred twelve".