42256435200 has 288 divisors, whose sum is σ = 159654156480. Its totient is φ = 9658368000.

The previous prime is 42256435159. The next prime is 42256435217. The reversal of 42256435200 is 253465224.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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, 1055550 + ... + 1094850.

It is an arithmetic number, because the mean of its divisors is an integer number (554354710).

Almost surely, 2^42256435200 is an apocalyptic number.

42256435200 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 42256435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79827078240).

42256435200 is an abundant number, since it is smaller than the sum of its proper divisors (117397721280).

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

42256435200 is a wasteful number, since it uses less digits than its factorization.

42256435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 42256435200 in words is "forty-two billion, two hundred fifty-six million, four hundred thirty-five thousand, two hundred".