42284674555200 has 2352 divisors, whose sum is σ = 197422876460544. Its totient is φ = 8654053478400.

The previous prime is 42284674555187. The next prime is 42284674555241. The reversal of 42284674555200 is 255547648224.

42284674555200 is a `hidden beast` number, since 4 + 2 + 2 + 8 + 4 + 67 + 4 + 55 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 335 ways as a sum of consecutive naturals, for example, 6017454087 + ... + 6017461113.

Almost surely, 2^{42284674555200} is an apocalyptic number.

42284674555200 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 42284674555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98711438230272).

42284674555200 is an abundant number, since it is smaller than the sum of its proper divisors (155138201905344).

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

42284674555200 is a wasteful number, since it uses less digits than its factorization.

42284674555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7152 (or 7122 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 42284674555200 in words is "forty-two trillion, two hundred eighty-four billion, six hundred seventy-four million, five hundred fifty-five thousand, two hundred".