21417071412 has 96 divisors (see below), whose sum is σ = 55153929600. Its totient is φ = 6414336000.

The previous prime is 21417071407. The next prime is 21417071419.

21417071412 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 21417071412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21417071419) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10251264 + ... + 10253352.

It is an arithmetic number, because the mean of its divisors is an integer number (574520100).

Almost surely, 2^21417071412 is an apocalyptic number.

21417071412 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 21417071412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27576964800).

21417071412 is an abundant number, since it is smaller than the sum of its proper divisors (33736858188).

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

21417071412 is a wasteful number, since it uses less digits than its factorization.

21417071412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

It can be divided in two parts, 214170 and 71412, that added together give a palindrome (285582).

The spelling of 21417071412 in words is "twenty-one billion, four hundred seventeen million, seventy-one thousand, four hundred twelve".