22211444100040 has 128 divisors (see below), whose sum is σ = 54328664113920. Its totient is φ = 8123659545600.

The previous prime is 22211444100031. The next prime is 22211444100059. The reversal of 22211444100040 is 4000144411222.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22211444099978 and 22211444100014.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 849665370 + ... + 849691510.

It is an arithmetic number, because the mean of its divisors is an integer number (424442688390).

Almost surely, 2^{22211444100040} is an apocalyptic number.

22211444100040 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 22211444100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27164332056960).

22211444100040 is an abundant number, since it is smaller than the sum of its proper divisors (32117220013880).

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

22211444100040 is a wasteful number, since it uses less digits than its factorization.

22211444100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41543 (or 41539 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 22211444100040 its reverse (4000144411222), we get a palindrome (26211588511262).

The spelling of 22211444100040 in words is "twenty-two trillion, two hundred eleven billion, four hundred forty-four million, one hundred thousand, forty".