42894819420600 has 1536 divisors, whose sum is σ = 167899853721600. Its totient is φ = 8836123852800.

The previous prime is 42894819420577. The next prime is 42894819420631. The reversal of 42894819420600 is 602491849824.

It is a happy number.

42894819420600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 52120071789 + ... + 52120072611.

It is an arithmetic number, because the mean of its divisors is an integer number (109309800600).

Almost surely, 2^{42894819420600} is an apocalyptic number.

42894819420600 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 42894819420600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83949926860800).

42894819420600 is an abundant number, since it is smaller than the sum of its proper divisors (125005034301000).

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

42894819420600 is a wasteful number, since it uses less digits than its factorization.

42894819420600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 57.

The spelling of 42894819420600 in words is "forty-two trillion, eight hundred ninety-four billion, eight hundred nineteen million, four hundred twenty thousand, six hundred".