42686613169200 has 1080 divisors, whose sum is σ = 202445540374896. Its totient is φ = 8187637248000.

The previous prime is 42686613169183. The next prime is 42686613169231. The reversal of 42686613169200 is 296131668624.

42686613169200 is a `hidden beast` number, since 4 + 2 + 6 + 8 + 6 + 613 + 16 + 9 + 2 + 0 + 0 = 666.

It is a super-3 number, since 3×42686613169200³ (a number of 42 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 24379090 + ... + 26071310.

Almost surely, 2^{42686613169200} is an apocalyptic number.

42686613169200 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 42686613169200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101222770187448).

42686613169200 is an abundant number, since it is smaller than the sum of its proper divisors (159758927205696).

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

42686613169200 is a wasteful number, since it uses less digits than its factorization.

42686613169200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692283 (or 1692262 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 42686613169200 in words is "forty-two trillion, six hundred eighty-six billion, six hundred thirteen million, one hundred sixty-nine thousand, two hundred".