21461433416412 has 96 divisors (see below), whose sum is σ = 55275027575040. Its totient is φ = 6426653882880.

The previous prime is 21461433416407. The next prime is 21461433416429.

21461433416412 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×21461433416412³ (a number of 41 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 19711678 + ... + 20771930.

It is an arithmetic number, because the mean of its divisors is an integer number (575781537240).

Almost surely, 2^{21461433416412} is an apocalyptic number.

21461433416412 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 21461433416412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637513787520).

21461433416412 is an abundant number, since it is smaller than the sum of its proper divisors (33813594158628).

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

21461433416412 is a wasteful number, since it uses less digits than its factorization.

21461433416412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062083 (or 1062081 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 21461433416412 in words is "twenty-one trillion, four hundred sixty-one billion, four hundred thirty-three million, four hundred sixteen thousand, four hundred twelve".