21142265416000 has 224 divisors, whose sum is σ = 53010433476000. Its totient is φ = 8351886540800.

The previous prime is 21142265415983. The next prime is 21142265416033. The reversal of 21142265416000 is 61456224112.

It can be written as a sum of positive squares in 16 ways, for example, as 16497309409344 + 4644956006656 = 4061688^2 + 2155216^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 610166676 + ... + 610201324.

It is an arithmetic number, because the mean of its divisors is an integer number (236653720875).

Almost surely, 2^{21142265416000} is an apocalyptic number.

21142265416000 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 21142265416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26505216738000).

21142265416000 is an abundant number, since it is smaller than the sum of its proper divisors (31868168060000).

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

21142265416000 is an equidigital number, since it uses as much as digits as its factorization.

21142265416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35622 (or 35602 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 21142265416000 in words is "twenty-one trillion, one hundred forty-two billion, two hundred sixty-five million, four hundred sixteen thousand".