42458035200 has 264 divisors, whose sum is σ = 160374622272. Its totient is φ = 9704570880.

The previous prime is 42458035199. The next prime is 42458035201. The reversal of 42458035200 is 253085424.

It is an interprime number because it is at equal distance from previous prime (42458035199) and next prime (42458035201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42458035201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498112 + ... + 577088.

Almost surely, 2^42458035200 is an apocalyptic number.

42458035200 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 42458035200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80187311136).

42458035200 is an abundant number, since it is smaller than the sum of its proper divisors (117916587072).

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

42458035200 is a wasteful number, since it uses less digits than its factorization.

42458035200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79017 (or 78994 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The spelling of 42458035200 in words is "forty-two billion, four hundred fifty-eight million, thirty-five thousand, two hundred".