21126407949024 has 192 divisors, whose sum is σ = 64947074734080. Its totient is φ = 5887204001280.

The previous prime is 21126407949011. The next prime is 21126407949077. The reversal of 21126407949024 is 42094970462112.

It is a super-2 number, since 2×21126407949024² (a number of 27 digits) contains 22 as substring.

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, 19438107 + ... + 20496165.

It is an arithmetic number, because the mean of its divisors is an integer number (338266014240).

Almost surely, 2^{21126407949024} is an apocalyptic number.

21126407949024 is a gapful number since it is divisible by the number (24) 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 21126407949024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32473537367040).

21126407949024 is an abundant number, since it is smaller than the sum of its proper divisors (43820666785056).

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

21126407949024 is a wasteful number, since it uses less digits than its factorization.

21126407949024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058813 (or 1058805 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 21126407949024 in words is "twenty-one trillion, one hundred twenty-six billion, four hundred seven million, nine hundred forty-nine thousand, twenty-four".