21400211341000 has 128 divisors (see below), whose sum is σ = 50331687400800. Its totient is φ = 8516549452800.

The previous prime is 21400211340923. The next prime is 21400211341009. The reversal of 21400211341000 is 14311200412.

It can be written as a sum of positive squares in 16 ways, for example, as 4695481612836 + 16704729728164 = 2166906^2 + 4087142^2 .

It is not an unprimeable number, because it can be changed into a prime (21400211341009) 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, 197122734 + ... + 197231266.

Almost surely, 2^{21400211341000} is an apocalyptic number.

21400211341000 is a gapful number since it is divisible by the number (20) 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 21400211341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25165843700400).

21400211341000 is an abundant number, since it is smaller than the sum of its proper divisors (28931476059800).

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

21400211341000 is a wasteful number, since it uses less digits than its factorization.

21400211341000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109556 (or 109542 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 21400211341000 its reverse (14311200412), we get a palindrome (21414522541412).

The spelling of 21400211341000 in words is "twenty-one trillion, four hundred billion, two hundred eleven million, three hundred forty-one thousand".