42233422400 has 168 divisors, whose sum is σ = 112456593984. Its totient is φ = 15518361600.

The previous prime is 42233422373. The next prime is 42233422453. The reversal of 42233422400 is 422433224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42233422400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4383989 + ... + 4393611.

It is an arithmetic number, because the mean of its divisors is an integer number (669384488).

Almost surely, 2^42233422400 is an apocalyptic number.

42233422400 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 42233422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56228296992).

42233422400 is an abundant number, since it is smaller than the sum of its proper divisors (70223171584).

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

42233422400 is a wasteful number, since it uses less digits than its factorization.

42233422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9869 (or 9854 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 42233422400 its reverse (422433224), we get a palindrome (42655855624).

The spelling of 42233422400 in words is "forty-two billion, two hundred thirty-three million, four hundred twenty-two thousand, four hundred".