42395857920 has 704 divisors, whose sum is σ = 167711201280. Its totient is φ = 10085990400.

The previous prime is 42395857883. The next prime is 42395857939. The reversal of 42395857920 is 2975859324.

42395857920 is a `hidden beast` number, since 4 + 2 + 39 + 585 + 7 + 9 + 20 = 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 63 ways as a sum of consecutive naturals, for example, 55710340 + ... + 55711100.

Almost surely, 2^42395857920 is an apocalyptic number.

42395857920 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 42395857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83855600640).

42395857920 is an abundant number, since it is smaller than the sum of its proper divisors (125315343360).

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

42395857920 is a wasteful number, since it uses less digits than its factorization.

42395857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 42395857920 in words is "forty-two billion, three hundred ninety-five million, eight hundred fifty-seven thousand, nine hundred twenty".