42335766144 has 192 divisors, whose sum is σ = 139352840640. Its totient is φ = 12085198848.

The previous prime is 42335766131. The next prime is 42335766157. The reversal of 42335766144 is 44166753324.

42335766144 is a `hidden beast` number, since 4 + 2 + 33 + 576 + 6 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (42335766131) and next prime (42335766157).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 42335766144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15376672 + ... + 15379424.

It is an arithmetic number, because the mean of its divisors is an integer number (725796045).

Almost surely, 2^42335766144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42335766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69676420320).

42335766144 is an abundant number, since it is smaller than the sum of its proper divisors (97017074496).

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

42335766144 is a wasteful number, since it uses less digits than its factorization.

42335766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4687 (or 4672 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 42335766144 in words is "forty-two billion, three hundred thirty-five million, seven hundred sixty-six thousand, one hundred forty-four".