42255402433200 has 1440 divisors, whose sum is σ = 168412592904192. Its totient is φ = 9718520832000.

The previous prime is 42255402433193. The next prime is 42255402433207. The reversal of 42255402433200 is 233420455224.

42255402433200 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 5 + 402 + 43 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (42255402433193) and next prime (42255402433207).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42255402433207) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21416827414 + ... + 21416829386.

Almost surely, 2^{42255402433200} is an apocalyptic number.

42255402433200 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 42255402433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206296452096).

42255402433200 is an abundant number, since it is smaller than the sum of its proper divisors (126157190470992).

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

42255402433200 is a wasteful number, since it uses less digits than its factorization.

42255402433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 42255402433200 its reverse (233420455224), we get a palindrome (42488822888424).

The spelling of 42255402433200 in words is "forty-two trillion, two hundred fifty-five billion, four hundred two million, four hundred thirty-three thousand, two hundred".