42694310880 has 288 divisors, whose sum is σ = 158297944896. Its totient is φ = 10415849472.

The previous prime is 42694310873. The next prime is 42694310887. The reversal of 42694310880 is 8801349624.

It is a happy number.

42694310880 is a `hidden beast` number, since 426 + 9 + 43 + 108 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42694310873) and next prime (42694310887).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42694310887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2105269 + ... + 2125451.

It is an arithmetic number, because the mean of its divisors is an integer number (549645642).

Almost surely, 2^42694310880 is an apocalyptic number.

42694310880 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 42694310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79148972448).

42694310880 is an abundant number, since it is smaller than the sum of its proper divisors (115603634016).

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

42694310880 is a wasteful number, since it uses less digits than its factorization.

42694310880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330 (or 20319 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 42694310880 in words is "forty-two billion, six hundred ninety-four million, three hundred ten thousand, eight hundred eighty".