20021141034400 has 288 divisors, whose sum is σ = 57556772380800. Its totient is φ = 6723739545600.

The previous prime is 20021141034359. The next prime is 20021141034407. The reversal of 20021141034400 is 443014112002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (20021141034407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4164106 + ... + 7575094.

It is an arithmetic number, because the mean of its divisors is an integer number (199849904100).

Almost surely, 2^{20021141034400} is an apocalyptic number.

20021141034400 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 20021141034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28778386190400).

20021141034400 is an abundant number, since it is smaller than the sum of its proper divisors (37535631346400).

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

20021141034400 is a wasteful number, since it uses less digits than its factorization.

20021141034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3411072 (or 3411059 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 20021141034400 its reverse (443014112002), we get a palindrome (20464155146402).

The spelling of 20021141034400 in words is "twenty trillion, twenty-one billion, one hundred forty-one million, thirty-four thousand, four hundred".