42368261683200 has 576 divisors, whose sum is σ = 148809905244000. Its totient is φ = 10613741322240.

The previous prime is 42368261683193. The next prime is 42368261683243. The reversal of 42368261683200 is 238616286324.

It is a super-2 number, since 2×42368261683200² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164684266 + ... + 164941334.

Almost surely, 2^{42368261683200} is an apocalyptic number.

42368261683200 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 42368261683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74404952622000).

42368261683200 is an abundant number, since it is smaller than the sum of its proper divisors (106441643560800).

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

42368261683200 is a wasteful number, since it uses less digits than its factorization.

42368261683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257170 (or 257145 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 42368261683200 in words is "forty-two trillion, three hundred sixty-eight billion, two hundred sixty-one million, six hundred eighty-three thousand, two hundred".