42341337021600 has 216 divisors, whose sum is σ = 149421824016192. Its totient is φ = 11282274777600.

The previous prime is 42341337021541. The next prime is 42341337021611. The reversal of 42341337021600 is 612073314324.

42341337021600 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 13 + 37 + 0 + 2 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 7017609 + ... + 11572791.

Almost surely, 2^{42341337021600} is an apocalyptic number.

42341337021600 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 42341337021600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74710912008096).

42341337021600 is an abundant number, since it is smaller than the sum of its proper divisors (107080486994592).

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

42341337021600 is a wasteful number, since it uses less digits than its factorization.

42341337021600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4556500 (or 4556484 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 42341337021600 in words is "forty-two trillion, three hundred forty-one billion, three hundred thirty-seven million, twenty-one thousand, six hundred".