22141411413420 has 384 divisors, whose sum is σ = 68484971520000. Its totient is φ = 5310848913408.

The previous prime is 22141411413403. The next prime is 22141411413469. The reversal of 22141411413420 is 2431411414122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15826597881 + ... + 15826599279.

It is an arithmetic number, because the mean of its divisors is an integer number (178346280000).

Almost surely, 2^{22141411413420} is an apocalyptic number.

22141411413420 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 22141411413420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34242485760000).

22141411413420 is an abundant number, since it is smaller than the sum of its proper divisors (46343560106580).

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

22141411413420 is a wasteful number, since it uses less digits than its factorization.

22141411413420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3057 (or 3055 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 22141411413420 its reverse (2431411414122), we get a palindrome (24572822827542).

The spelling of 22141411413420 in words is "twenty-two trillion, one hundred forty-one billion, four hundred eleven million, four hundred thirteen thousand, four hundred twenty".