42345856879200 has 3456 divisors, whose sum is σ = 197389766246400. Its totient is φ = 8704242892800.

The previous prime is 42345856879177. The next prime is 42345856879219. The reversal of 42345856879200 is 297865854324.

42345856879200 is a `hidden beast` number, since 4 + 2 + 3 + 45 + 8 + 568 + 7 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 536023504761 + ... + 536023504839.

It is an arithmetic number, because the mean of its divisors is an integer number (57115094400).

Almost surely, 2^{42345856879200} is an apocalyptic number.

42345856879200 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 42345856879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98694883123200).

42345856879200 is an abundant number, since it is smaller than the sum of its proper divisors (155043909367200).

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

42345856879200 is a wasteful number, since it uses less digits than its factorization.

42345856879200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 42345856879200 in words is "forty-two trillion, three hundred forty-five billion, eight hundred fifty-six million, eight hundred seventy-nine thousand, two hundred".