42333002400 has 288 divisors, whose sum is σ = 152408245248. Its totient is φ = 10138521600.

The previous prime is 42333002399. The next prime is 42333002401. The reversal of 42333002400 is 420033324.

It is an interprime number because it is at equal distance from previous prime (42333002399) and next prime (42333002401).

It is not an unprimeable number, because it can be changed into a prime (42333002401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1136065 + ... + 1172735.

It is an arithmetic number, because the mean of its divisors is an integer number (529195296).

Almost surely, 2^42333002400 is an apocalyptic number.

42333002400 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 42333002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204122624).

42333002400 is an abundant number, since it is smaller than the sum of its proper divisors (110075242848).

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

42333002400 is a wasteful number, since it uses less digits than its factorization.

42333002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36744 (or 36731 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

Adding to 42333002400 its reverse (420033324), we get a palindrome (42753035724).

The spelling of 42333002400 in words is "forty-two billion, three hundred thirty-three million, two thousand, four hundred".