4022304213040 has 160 divisors (see below), whose sum is σ = 9494443745280. Its totient is φ = 1584549120000.

The previous prime is 4022304212897. The next prime is 4022304213097. The reversal of 4022304213040 is 403124032204.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4022304212996 and 4022304213014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3494616465 + ... + 3494617615.

It is an arithmetic number, because the mean of its divisors is an integer number (59340273408).

Almost surely, 2^{4022304213040} is an apocalyptic number.

4022304213040 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 4022304213040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4747221872640).

4022304213040 is an abundant number, since it is smaller than the sum of its proper divisors (5472139532240).

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

4022304213040 is a wasteful number, since it uses less digits than its factorization.

4022304213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4022304213040 its reverse (403124032204), we get a palindrome (4425428245244).

The spelling of 4022304213040 in words is "four trillion, twenty-two billion, three hundred four million, two hundred thirteen thousand, forty".