4223213241040 has 80 divisors (see below), whose sum is σ = 9874389404880. Its totient is φ = 1679753134080.

The previous prime is 4223213240993. The next prime is 4223213241073. The reversal of 4223213241040 is 401423123224.

It can be written as a sum of positive squares in 8 ways, for example, as 2010247580224 + 2212965660816 = 1417832^2 + 1487604^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4223213241040² (a number of 26 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 211817952 + ... + 211837888.

It is an arithmetic number, because the mean of its divisors is an integer number (123429867561).

Almost surely, 2^{4223213241040} is an apocalyptic number.

4223213241040 is a gapful number since it is divisible by the number (40) 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 4223213241040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937194702440).

4223213241040 is an abundant number, since it is smaller than the sum of its proper divisors (5651176163840).

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

4223213241040 is a wasteful number, since it uses less digits than its factorization.

4223213241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34760 (or 34754 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 4223213241040 its reverse (401423123224), we get a palindrome (4624636364264).

The spelling of 4223213241040 in words is "four trillion, two hundred twenty-three billion, two hundred thirteen million, two hundred forty-one thousand, forty".