42423955200 has 648 divisors, whose sum is σ = 171076463600. Its totient is φ = 10279526400.

The previous prime is 42423955163. The next prime is 42423955207. The reversal of 42423955200 is 255932424.

42423955200 is a `hidden beast` number, since 4 + 2 + 42 + 3 + 95 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423955207) 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, 20907786 + ... + 20909814.

Almost surely, 2^42423955200 is an apocalyptic number.

42423955200 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 42423955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85538231800).

42423955200 is an abundant number, since it is smaller than the sum of its proper divisors (128652508400).

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

42423955200 is a wasteful number, since it uses less digits than its factorization.

42423955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 42423955200 in words is "forty-two billion, four hundred twenty-three million, nine hundred fifty-five thousand, two hundred".