4422013413400 has 288 divisors, whose sum is σ = 11483479541520. Its totient is φ = 1582071321600.

The previous prime is 4422013413397. The next prime is 4422013413407. The reversal of 4422013413400 is 43143102244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422013413407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2355893262 + ... + 2355895138.

Almost surely, 2^{4422013413400} is an apocalyptic number.

4422013413400 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 4422013413400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741739770760).

4422013413400 is an abundant number, since it is smaller than the sum of its proper divisors (7061466128120).

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

4422013413400 is a wasteful number, since it uses less digits than its factorization.

4422013413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3415 counting only the distinct ones).

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

Adding to 4422013413400 its reverse (43143102244), we get a palindrome (4465156515644).

The spelling of 4422013413400 in words is "four trillion, four hundred twenty-two billion, thirteen million, four hundred thirteen thousand, four hundred".