42686889840 has 800 divisors, whose sum is σ = 180956882304. Its totient is φ = 9103933440.

The previous prime is 42686889827. The next prime is 42686889841. The reversal of 42686889840 is 4898868624.

42686889840 is a `hidden beast` number, since 426 + 8 + 6 + 88 + 98 + 40 = 666.

It is a super-3 number, since 3×42686889840³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42686889841) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 151910500 + ... + 151910780.

Almost surely, 2^42686889840 is an apocalyptic number.

42686889840 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 42686889840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90478441152).

42686889840 is an abundant number, since it is smaller than the sum of its proper divisors (138269992464).

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

42686889840 is a wasteful number, since it uses less digits than its factorization.

42686889840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 42686889840 in words is "forty-two billion, six hundred eighty-six million, eight hundred eighty-nine thousand, eight hundred forty".