42233133201400 has 24 divisors (see below), whose sum is σ = 98192034693720. Its totient is φ = 16893253280480.

The previous prime is 42233133201397. The next prime is 42233133201403. The reversal of 42233133201400 is 410233133224.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42233133201397) and next prime (42233133201403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42233133201403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 105582832804 + ... + 105582833203.

It is an arithmetic number, because the mean of its divisors is an integer number (4091334778905).

Almost surely, 2^{42233133201400} is an apocalyptic number.

42233133201400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42233133201400 is an abundant number, since it is smaller than the sum of its proper divisors (55958901492320).

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

42233133201400 is a wasteful number, since it uses less digits than its factorization.

42233133201400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211165666023 (or 211165666014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 42233133201400 its reverse (410233133224), we get a palindrome (42643366334624).

The spelling of 42233133201400 in words is "forty-two trillion, two hundred thirty-three billion, one hundred thirty-three million, two hundred one thousand, four hundred".