21127141410400 has 144 divisors (see below), whose sum is σ = 53368546850640. Its totient is φ = 8157397248000.

The previous prime is 21127141410383. The next prime is 21127141410407. The reversal of 21127141410400 is 401414172112.

It is a super-2 number, since 2×21127141410400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21127141410407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93870802 + ... + 94095598.

It is an arithmetic number, because the mean of its divisors is an integer number (370614908685).

Almost surely, 2^{21127141410400} is an apocalyptic number.

21127141410400 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 21127141410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26684273425320).

21127141410400 is an abundant number, since it is smaller than the sum of its proper divisors (32241405440240).

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

21127141410400 is a wasteful number, since it uses less digits than its factorization.

21127141410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228897 (or 228884 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

Adding to 21127141410400 its reverse (401414172112), we get a palindrome (21528555582512).

The spelling of 21127141410400 in words is "twenty-one trillion, one hundred twenty-seven billion, one hundred forty-one million, four hundred ten thousand, four hundred".