21134321403400 has 192 divisors, whose sum is σ = 49851126466560. Its totient is φ = 8332032000000.

The previous prime is 21134321403347. The next prime is 21134321403451. The reversal of 21134321403400 is 430412343112.

It is a happy number.

It is a super-2 number, since 2×21134321403400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2313043632 + ... + 2313052768.

It is an arithmetic number, because the mean of its divisors is an integer number (259641283680).

Almost surely, 2^{21134321403400} is an apocalyptic number.

21134321403400 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 21134321403400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24925563233280).

21134321403400 is an abundant number, since it is smaller than the sum of its proper divisors (28716805063160).

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

21134321403400 is a wasteful number, since it uses less digits than its factorization.

21134321403400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9896 (or 9887 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 21134321403400 its reverse (430412343112), we get a palindrome (21564733746512).

The spelling of 21134321403400 in words is "twenty-one trillion, one hundred thirty-four billion, three hundred twenty-one million, four hundred three thousand, four hundred".