21330400403312 has 160 divisors (see below), whose sum is σ = 55492248268800. Its totient is φ = 7670806364160.

The previous prime is 21330400403261. The next prime is 21330400403383.

21330400403312 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×21330400403312² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 367426064 + ... + 367484112.

It is an arithmetic number, because the mean of its divisors is an integer number (346826551680).

Almost surely, 2^{21330400403312} is an apocalyptic number.

21330400403312 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 21330400403312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27746124134400).

21330400403312 is an abundant number, since it is smaller than the sum of its proper divisors (34161847865488).

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

21330400403312 is a wasteful number, since it uses less digits than its factorization.

21330400403312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81031 (or 81025 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 21330400 and 403312, that added together give a palindrome (21733712).

The spelling of 21330400403312 in words is "twenty-one trillion, three hundred thirty billion, four hundred million, four hundred three thousand, three hundred twelve".